I have a system of equations I don’t remember how to do :|

I forgot how to solve this, and I forgot how to find the slope…

I Have A System Of Equations I Dont Remember How To Do :|I Forgot How To Solve This, And I Forgot How

Answers

Answer 1

Answer:

  x + y = 3 (infinite solutions)

Step-by-step explanation:

You observe that all of the numbers in the second equation are multiples of 3. When you divide the second equation by 3, it becomes identical to the first equation. The equations are said to be "dependent."

That means both equations graph as the same line, so will intersect at every point on the line. The system of equations has an infinite number of solutions.

_____

Additional comments

There are a number of ways to solve a system of equations. Two methods commonly taught are "substitution" and "elimination". Either one works here.

We can solve the first equation for y by subtracting x from both sides:

  x +y -x = 3 -x

  y = -x +3 . . . . . . simplify

In this form, the slope is the coefficient of x. Here, it is -1.

This expression for y can be substituted into the other equation:

  3x +3(-x +3) = 9

  3x -3x +9 = 9 . . . . . eliminate parentheses

  9 = 9 . . . . . . . . . . . simplify

This is true for all values of x or y. There are an infinite number of solutions.

Answer 2

Answer:

There are infinite numbers of solution.

Step-by-step explanation:

Question :

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\small\begin{cases}\sf{x + y= \bf{3}} \\ \\ \sf{3x + 3y= \bf{9}}\end{cases} \end{gathered}\end{gathered}\end{gathered}[/tex]

Solution :

Solving the question and finding the final answer.

Here,

x + y = 3 . . . (i)3x + 3y = 9 . . . (ii)━━━━━━━━━

Now, from equation (i),

[tex]\twoheadrightarrow{\sf{x + y = 3}} [/tex]

[tex]\twoheadrightarrow{\sf{x = 3 - y}} [/tex]

━━━━━━━━━

Now, putting the value of x in equation (ii)

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{3x + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{3(3 - y) + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 3y + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\red{9 = 9}}}}}}\end{gathered}[/tex]

This statement is true for all values of x and y.

So, there are infinite numbers of solution.

[tex]\underline{\rule{220pt}{3pt}}[/tex]


Related Questions

Which graph represents the equation y= −4/3x − 2

Answers

Answer:

  C -- see attachment

Step-by-step explanation:

The graph you're looking for has a y-intercept of -2 (as they all do) and a negative slope that is steeper than -1. It will have a "rise" of -4 for each "run" of 3, so point (-3, 2) will also be on the graph.

The graph shown in the attachment is the one you're looking for.

_____

Two of the offered graphs have negative slope. One (B) has a slope of -3/4, so is not the correct graph. The other (C) has a slope of -4/3. It is attached.

Karen invited 150 friends to her 15th birthday party, but not everyone can attend, Karen’s mother want one adult for every 25 of her friends. The cost of food is $20 for every four of her friends, and the adults eat for free. If a total of 116 people (including Karen and her mother) go to the party, how many are adults and how many are Karen’s friends? How much will the food cost?

Answers

The party was attended by Karen, her mother, 4 other adults, and 110 of Karen's friends, for a total of $ 555.

Since Karen invited 150 friends to her 15th birthday party, but not everyone can attend, Karen's mother want one adult for every 25 of her friends, and the cost of food is $ 20 for every four of her friends, and the adults eat for free, if a total of 116 people (including Karen and her mother) go to the party, to determine how many are adults and how many are Karen's friends and how much will the food cost, the following calculations must be performed:

26 (25 friends and one adult) + 26 (25 friends and one adult) + 26 (25 friends and one adult) + 26 (25 friends and one adult) + 12 (10 friends + Karen and her mother) = 116 = 5 adults + 111 friends and Karen 111/4 x 20 = X 555 = X

Therefore, the party was attended by Karen, her mother, 4 other adults, and 110 of Karen's friends, for a total of $ 555.

Learn more about maths in https://brainly.com/question/25865591

Easy peace math problem

Answers

Answer:

225/10=441/l

cross multiply

225l=10*441

225l=4410

l=4410/225

l=19.6 liters of gas

Step-by-step explanation:

l=19.6 liters of gas

help me please asap
i will make you brainliest

Answers

Answer:

see explanation

Step-by-step explanation:

An open circle indicates that x cannot equal that value

A closed circle indicates that x can equal that value.

(i)

An open circle at x = - 1 and arrow pointing right

x > - 1

(ii)

An open circle at x = - 1.5 and arrow pointing right

x > - 1.5

(iii)

A closed circle at x = 4 and arrow pointing left

x ≤ 4

(iv)

A closed circle at 0.5 and arrow pointing left

x ≤ 0.5

Which number line and equation show how to find the distance from -2 to - 5?

Answers

Answer:

  B

Step-by-step explanation:

If you're concerned with the points -2 and -5, you would be looking for a number line with those points plotted on it. The only one is ...

  number line B

what is the probability​

Answers

5/6 at random, (not including yellow if included yellow the answer would be 1/5)
red = 2/6 which would equal 1/3
not yellow = 5/6

please help me asappp :D



ty :)

Answers

Answer:

5x + 8y = 24

Step-by-step explanation:

Multiply the equation 8

8 ( y = -5x/8 + 3 )

8y = -5x + 24

5x + 8y = 24

Can someone help me with this please?!

Answers

Answer:

x < 6

Step-by-step explanation:

1) -5x > -30

2) divide both sides by -5

3) flip the sign as we divided inequality by a negative

4) x < 6

How do we get 144 here?

Answers

Answer:

the correct answer is supposed to be 120, your almost there :)

Step-by-step explanation:

Equations that represent a line parallel to y=8x+4

Answers

y=8x+b, b being any number, is parallel to y=8x+4.

For example:

y=8x+2

y=8x+(1/2)

y=8x+937382

y=8x-4

Which function has a greater rate of change?
A.
Y=X4
B.
X Y
-2-11
0-9
2 -7
-
3-6
6-3

Answers

Neither, they are equal.
Just look at how y varies with x. We can see that in the table as x increases by two y increase by 2 so the rate of change is just one. Slope is the term for rate of change. Y=x-4 has a slope of 1. 1=1. They have the same rate of change.

someone can help me with this

Answers

Answer:

x < -7/3

x [tex]\geq[/tex] 5

Step-by-step explanation:

For the first part:

3x + 10 < 3 subtract 10 from the both sides of the inequation

3x < -7 divide both sides by 3

x < -7/3

For the second part:

2x - 5 [tex]\geq[/tex] 5 add 5 to both sides of inequation

2x [tex]\geq[/tex] 10 divide both sides by 2

x [tex]\geq[/tex] 5

Complete the slope-intercept form of the linear equation that represents the relationship in the table.

Answers

y = -2x + 5

hope this helps!

Ayudaaaaaa es para hoy

Answers

Answer:

Step-by-step explanation:

a  (2³)² = 2³ˣ² = 2⁶

b (7⁰)¹ = 7⁰ˣ¹ = 7⁰ = 1

c (5⁶)³ = 5⁶ˣ³ = 5¹⁸

d (6²)⁴ = 6²ˣ⁴ = 6⁸

e (8³)⁴ = 8³ˣ⁴ = 8¹²

f (4³)² = 4³ˣ² = 4⁶

g (9¹)² = 9¹ˣ² = 9² = 81

h (3⁷)² = 3⁷ˣ² = 3¹⁴

i (10²)³ = 10²ˣ³ = 10⁶

j (11²)⁴ = 11²ˣ⁴ = 11⁸

what number u give me : 1. Bae 2. Bestie 3. Homie 4. R.O.D 5. Shawty 6. Friends 7.Be Mines? 8. Baby Girl 9. Boo 10. Sey Pickle 11. Lil sis 12. Lil bro13. Drug buddy 14. Crush 15. Plug 16. Funny Pickle 17. I miss you 18. Wifey 19. Hubby 20. We kool 22. All mines 23. Daddy

Answers

Answer:

14. 1. would u be mine?

Step-by-step explanation:

13 u can supply me fr

Write the equation of the line that passes through (-4,1) and is perpendicular to the line y=2x+3

Answers

Answer: y = -(1/2)x - 1

Step-by-step explanation:

y=2x+3

This is written in the format of y = mx + b, where m is the slope and b the y-intercept.  The slope of this reference line is 2.  Perpendicular lines will have a slope that is the negative inverse of the slope of the reference line.  That means out new line will have a slope of -(1/2):

y = -(1/2)x + b

We can find b by entering the x and y for the given point (-4,1) and solve for b:

y = -(1/2)x + b

1 = -(1/2)(-4) + b

1 = 2 + b

b = -1

y = -(1/2)x - 1

This equation is perpendicular to y=2x+3 and goes through point (-4,1).  See attachment.

Marcus monthly salary is $1,500 plus 10% of sales. How much could Marcus earn per month with salary and 10% sales? Please explain your answer.........

Answers

Answer:

1500 + x(0.1)=salary

Step-by-step explanation:

Without a sales value, what I'm assuming you want is the equation to find his salary

Using a y=mx+b equation, we find that the b=1500, while m (the slope) is equal to 10%/100 and x is the dollar ammount in sales marcus has made, with y being this months paycheck

so we end up with an equation of 1500 +0.1x=y

Leave a thanks please!

if we pick two respondents at random, what's the probability they both selected purple

Answers

Answer:

This depends on what other colors are in the question. But put 1/x  and replace the x with how many colors there are and thats thier probabilaty of choosing purple.

Step-by-step explanation:

Theres no possible way of knowing unless you already have met and or know the person so if theres green, blue, pink, yellow, and purple, theres 5 colors and purple is 1 out of them therefore, 1/5

Rachel is 10 years older than her sister, Renee. In six years from now, the sum of their ages will be 40. How old is each girl?
(Systems of Equations Word Problem)

Answers

Answer: I say the answer is 20 years old, 30 years old

Step-by-step explanation: If rachel is 10 years old than her sister in six years from now, the sum of their ages will be 40. So rachel is 10 years older than her sister so the younger sister has to be 20 years old and and rachel is 30 years old.

Anyone know this answer I will give you 28 point.

Answers

Answer:

V to X = 68mi

X to W = 50mi

V to W = will be 68mi too

Step-by-step explanation:

note ; it's a triangle*

lemma wants to build a road named stargazer boulevard that will be parallel to moonbeam drive, on this road she will build a diner located 7 blocks north of the community garden where is the diner located

Answers

Answer:

(20,

Step-by-step explanation:

Solve the equation 3(2x + 2) = 3x - 15.
Ox=-7
17
Ox=-
Ox=3
Ox=7

Answers

Simplify:

6x + 6 = 3x - 15

Now use all solutions

6(7) + 6 = 3(7) - 15

42 + 6 = 21 - 15

Nearly, you can tell it doesn't work.

6(-7) + 6 = 3(-7) - 15

-42 + 6 = -21 - 15

-36 = -36

So, -7 is x.

Answer:

[tex] \pmb{3(2x + 2) = 3x - 15}[/tex]

[tex] \: \: \: \rightarrow \: {6x + 6 = 3x - 15}[/tex]

[tex] \: \: \: \rightarrow \: {6x - 3x = 15 + 6}[/tex]

[tex]\: \: \: \rightarrow \: {3x = 21}[/tex]

[tex]\: \: \: \rightarrow \: {x = \displaystyle{{ \frac{21}{3} }}}[/tex]

[tex]\: \: \: \pmb\rightarrow \: { \pmb{x = 7}}[/tex]

a/a+2 = 3/5 ,, can someone give me the step by step solution to this? or at least explain it to me :’)

Answers

Answer:

Hey There!

Let's solve...

[tex] \frac{a}{a + 2} = \frac{3}{5} \\ \\ [/tex]

if a/b=c/d,then it will be a*d=b*c

Note: * means "×" or multiply

Let's continue...

[tex]a \times 5 = (a + 2) \times 3 \\ now \: expand \: \\ a \times 5 = 3a + 6 \\ \\ a \times 5 - 3a = 3a + 6 - 3a \\ [/tex]

[tex]now \: it \: will \: be \: a \times 2 = 6 \\ so \: 2a = 6 \\ \\ therefore \: a = \frac{6}{2} \\ simplify \\ \\ \frac{ \cancel{6}^{3} }{ \cancel{2} ^{1} } \\ so \: a = 3 [/tex]

So final answer is a=3

I hope it is helpful to you...Cheers!___________

The value of a in the equation is 3

The equation is given as:

[tex]\frac{a}{a+2} =\frac 35[/tex]

Start by cross multiplying the above equation

[tex]5 \times a = 3 *(a + 2)[/tex]

Simplify each product

[tex]5a =3a + 6[/tex]

Collect like terms

[tex]5a -3a = 6[/tex]

Evaluate the difference

[tex]2a = 6[/tex]

Divide both sides by 2

[tex]a = 3[/tex]

Hence, the result of the equation is 3

Read more about equations at:

https://brainly.com/question/2972832

Find the value of x?

Answers

Answer:

145°

Step-by-step explanation:

See the attachment.  Angles A, B, and C all belong to the triangle.

We know that A + B + C = 180° since the angles of a triangle always add to 180°.  We also know that when two lines meet that their sum is also equal to 180°.  So we can write for each interior angle the following:

                                     Result

<A = (180 - 88)                72

<B = (180-x)                  180-x

<C = (180 - 127)               53

The sum of angles A, B, and C is equal to 180:

 72 + (180-x) + 53 = 180

x = 145

#1: Find the value of X. (GEOMETRY)

I will give brainliest to BEST answer! fake answers will be reported.
refer to attachment!

Answers

Answer:

x = 14

Step-by-step explanation:

1. We know that all angle measures in a triangle sum to 180 degrees.

This means that 7x - 11 + 5x - 2 + 2x - 3 = 180.

2. (Solving)

Step 1: Combine like terms.

[tex](7x+5x+2x)+(-11-2-3)=180[/tex] [tex]14x -16 = 180[/tex]

Step 2: Add 16 to both sides.

[tex]14x - 16 + 16 = 180 + 16[/tex] [tex]14x = 196[/tex]

Step 3: Divide both sides by 14.

[tex]\frac{14x}{14}=\frac{196}{14}[/tex] [tex]x = 14[/tex]

Step 2: Check if solution is correct.

[tex]7(14)-11+5(14)-2+2(14)-3=180[/tex] [tex]98-11+70-2+28-3=180[/tex] [tex]180=180[/tex]

Therefore, the answer is x = 14.

PLEASE HELP
Classify each sequence as arithmetic, geometric or neither:

1.) -1/16, 1/4, -1, 4, -16, …
2.) -5, 10, -15, 20, -25, …
3.) 65, 52, 36, 26, 13, …

[] Neither
[] Arithmetic
[] Geometric

Answers

Answer:

1. ARITHMETIC

2. NEITHER

3. GOEMETRIC

#Carryonlearning

which ordered pair is not in the solution set of y>-1/2x+5 and y_<3x-2

1 (5,3)
2 (4,3)
3 (3,4)
4 (4,4)

Answers

Answer: Choice B  (4,3)

===========================================================

Explanation:

Lets go through the points one by one

So we'll try (5,3) first. Plug x = 5 and y = 3 into the first inequality

[tex]y > -0.5x+5\\3 > -0.5*5+5\\3 > -2.5+5\\3 > 2.5[/tex]

We get a true result so (5,3) is a solution to the first inequality. Now check the second inequality.

[tex]y \le 3x-2\\3 \le 3(5)-2\\3 \le 15-2\\3 \le 13\\[/tex]

That's also true. Therefore, the point (5,3) is a solution to the system overall.

Your teacher wants you to find a non-solution, so we must cross choice A off the list.

---------------------

Let's now try choice B. We have x = 4 and y = 3

[tex]y > -0.5x+5\\3 > -0.5*4+5\\3 > -2+5\\3 > 3[/tex]

That last inequality is false. It's not possible to have a number larger than itself (or smaller than itself). So (4,3) is not a solution to the first inequality. We don't need to check the second inequality as we found the answer.

(6, 10)
(a, 8)
(4,5)
(2, 2)
1. Find the slope of the line. Explain or show your reasoning
2. Write an equations for the line.
3. Find the values for a and b. Explain or show your reasoning
4. What is the y-coordinate when x = 0? Explain or show your reasoning.

Answers

1) Slope is 2
2) y=2x-2
3) a=5, b=6 because using the slope(2) you can find these values
4) y coordinate when x = 0 is -2

Giving brainliest
Write the inequality that represents the possible values for x

Answers

Answer:

6x +12 < 10

Step-by-step explanation:

A teacher asked her students to divide a large number by 50.

• Aslan divided the number by 50.
• Lucy divided the number by 5 and then divided the answer she got by 10.
• Jack divided the number by 10 and then divided the answer he got by 40.
Who among these got the correct answer assuming they did NOT make mistakes in division?

Answers

Answer:

Step-by-step explanation:

Another way to do it is to multiply by 100 and divide by 2. That's probably the simplest way to do it.

Aslan of course would get the right answer. It's direct and it does give the right answer.

Lucy also did it correctly.

Jack is the only one who will not get it right.

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