Solve each system by substitution. Show all work.
-8x+2y= -4
-7x+y= -8

Answers

Answer 1

Answer:

(2, 6 )

Step-by-step explanation:

- 8x + 2y = - 4 → (1)

- 7x + y = - 8 ( add 7x to both sides )

y = 7x - 8 → (2)

substitute y = 7x - 8 into (1)

- 8x + 2(7x - 8) = - 4 ← distribute parenthesis and simplify left side

- 8x + 14x - 16 = - 4

6x - 16 = - 4 ( add 16 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

substitute x ;= 2 into (2)

y = 7(2) - 8 = 14 - 8 = 6

solution is (2, 6 )


Related Questions

Look at pic, I need #4 and F and G could be an answer. I am giving 23 points and will mark brainliest if you tell me how.

Answers

Answer is J

see the full solution in the photo

Answer:

J

Step-by-step explanation:

2(-1^2) - 4(-2) +6

=2 (1) +8 +6

=2+8+6

=16

Three times a number x minus four times a second number y divided by seven times a third number z

Answers

Answer

Step-by-step explanation:

Question is not clear. Is 4y being divided only by 7z or is the whole expression (3x - 4y)?

The sum of 6 consecutive integers is 519
What is the third number in this sequence?

Answers

n= the first integer

n + (n+1) + (n+2) + (n+3) + (n+4) + (n+5) = 519

6n + 15 = 519

6n = 594

n = 99

1st one = 99

so 3rd one = 101

What is the probability of an event that is impossible?

Answers

What is the probability of an event that is impossible?

p = 0

Answer:

The probability is 0.

Step-by-step explanation:

The probability of an impossible event is 0, or 0%.

If Ryan gives 3/8 of his cards to Josiah, how many cards does he give to Josiah?

Answers

Answer:

37.5% of his cards

Step-by-step explanation:

i d k how many cause you didnt give a starting number.

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a rock concert with a sound intensity of 10–1?.

Answers

The approximate loudness of a rock concert with a sound intensity of 10⁻⁹ is 110 Db.

What is a logarithm?

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The loudness (L) measured in decibels (Db), of sound intensity (I), measured in watts per square meter, is defined as

[tex]\rm L = 10 \ log \ \dfrac{I}{I_o}[/tex]

where [tex]\rm I_o = 10^{-12}[/tex] and is the least intense sound a human ear can hear.

The approximate loudness of a rock concert with a sound intensity of 10⁻¹ will be

[tex]\rm L = 10 \ log \ \dfrac{10^-^1}{10^{-12}}\\\\\rm L = 10 \ log 10^1^1\\\\L = 10*11\\\\L = 110[/tex]

The approximate loudness of a rock concert with a sound intensity of 10⁻¹ is 110 Db.

More about the logarithm link is given below.

https://brainly.com/question/7302008

Given the arithmetic sequence : 52, a, b, 67 . Find the value of a * b

Answers

Answer:

a=57 b=62

Step-by-step explanation:

u⁰=52

u¹=a

u²=b

u³=67

Use the explicit relation given by:

u(n)=u⁰+nd

where n is any term and d is the common difference.

u³=u⁰+3d

67=52+3d

3d=67-52

d=15/3

d=5

a=52+5=57

b=a+5=62

67=b+52=62+5=67 (just to make sure of the answer)

What is the value of x

Answers

Answer:

x+10+x+3x-5= 180

Step-by-step explanation:

5x+5=180

5 x = 175

X= 175/5

x=35

write an equation for the point 4,3​

Answers

Answer:

y-3=3(x-4)

Step-by-step explanation:

Hi there!

We are given that a line intersects the points (4, 3), and (6, 9)

The slope of this line is 3

And we want to write an equation in point-slope form using (4, 3)

Point-slope form is written as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

We already have one point of the equation filled out -- the [tex]y_1[/tex], which in this case, is 3;

Our current equation is:
[tex]y-3=m(x-x_1)[/tex] (n.b. I put m and [tex]x_1[/tex] as place holders)

Before we proceed though, let's label the values of the other things (m and [tex]x_1[/tex]) to avoid confusion:
[tex]x_1=4\\m=3[/tex]

Now we can substitute these into the equation:

y-3=3(x-4)

Hope this helps!

See more on writing equations in point-slope form here: https://brainly.com/question/1616074

Answer:

[tex]Hence,\ the\ equation\ is\ \fbox{$y-3=3(x-4)$}\[/tex]

Step-by-step explanation:

            [tex]Given,[/tex]
                [tex]points=\left(4,3\right)R\left(6,9\right)[/tex]

     [tex]To\ find!-the\ equation\ of\ line.[/tex]

[tex]Solution:-We\ know\ that\ the\ slope\ of\ the.[/tex]
                   [tex]line\ is\ given\ by[/tex]

     [tex]slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}[/tex]

               [tex]m=\frac{9-3}{6-4}=\frac{6}{2}=3[/tex]

  [tex]The\ equation\ of\ line\ in\ point-slope\ form[/tex]
     [tex]using\ the\ point\ \left(4,3\right)\ will\ be[/tex]
  [tex]y-y_1=m\left(x-x_1\right)[/tex]
  [tex]y-3=3\left(x-4\right)[/tex]

I hope this helps you

:)

Yvonne brought 4 7/8 yards of material to make a dress. What is 4 7/8 as an improper fraction? What is 4 7/8 written as a decimal?

Answers

Answer:

improper fraction- 39/8

mixed fraction- 4.875

show your work on
9-x>10

Answers

Answer:

x < -1

Step-by-step explanation:

9 -10 > x

x< -1

Answer:

x < - 1

Step-by-step explanation:

9 - x > 10 ( subtract 9 from both sides )

- x > 1

multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative value.

x < - 1

O Q Q
27 i 15
4. If a car is traveling 20' west of straight south, what is its true bearing? Draw a diagram to
show the path of the car. (10.9 Approaching)
5. If a plane is traveling 30" north of straight west, what is its true bearing? Draw a diagram to
show the path of the plane (10.9 Approaching)

Answers

Step-by-step explanation:

straight south is 180°.

so it is 180° 20'.

straight west is 270°.

so, it is 270° 0' 30".

The tennis coach at Riverside High School is purchasing equipment for the team. He has a budget of no more than $300 to purchase racquets and tennis balls. He wants to buy a large case of tennis balls costing $20 and several racquets that cost $40 each. Write an inequality statement that represents his purchase. What does the variable represent in your inequality? Solve the inequality.​

Answers

Answer:

300 ≥ 20 + 40x

Step-by-step explanation:

where x is the amount of racquets being bought

can i get brainliest please?

What is 178 divided by 6. Give the quotient and the remainder.​

Answers

Answer: 29 with the Remainder of 4

Step-by-step explanation:

Answer:

29 Remainder 4

Step-by-step explanation:

prove line segment de is congruent to line segment ce

Answers

Answer:

because there is 1 arc on both meaning they are congruent

Step-by-step explanation:

Can someone help me I'm lost

Answers

Answer:   [tex]\sqrt{6}[/tex]

This is the same as typing in sqrt(6)

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

Explanation:

The square has all four sides the same length, which in this case is [tex]\sqrt{3}[/tex] units.

The diagonal of the square splits it into two identical right triangles.

Use the Pythagorean Theorem to find the hypotenuse x, aka the diagonal.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\x = \sqrt{\left(\sqrt{3}\right)^2+\left(\sqrt{3}\right)^2}\\\\x = \sqrt{3+3}\\\\x = \sqrt{6}\\\\[/tex]

Or you can take the shortcut

[tex]\text{hypotenuse} = (\text{leg})*\sqrt{2}\\\\x = \sqrt{3}*\sqrt{2}\\\\x = \sqrt{3*2}\\\\x = \sqrt{6}\\\\[/tex]

Which applies to 45-45-90 right triangles.

let's recall that a square has four equal sides, Check the picture below.

I need help I have been struggling with this question for 15 minutes

Answers

8155 original long with 5 purebtice

2 2/5 x 4 3/4
A 8 3/10
B 11 2/5
C 9 3/10
D 10 3/5​

Answers

Answer:

It's B

Step-by-step explanation:

Multiple the denominator with the whole number, then take that number and add it with the numerator. So you'll have 12/5 x 19/4. Multiply the numerators with each other and the denominators with each other and you'll have 228/20. Divide 228 by 4 and you'll get 11 2/5.

solve 2x + 12 = -4. show wrk

Answers

2x +12=-4

2x= -4-12

2x=-16

x=-16/2

x= -8

Step-by-step explanation:

2x+12=-4

2x=-4-12

x=-16/2

x=-8

hope this helps you

have a good day.

Solve for x.
ill give u brain thing

Answers

Answer:

53

Step-by-step explanation:

We can use the Pythagorean Theorem to find x.

Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

Where "a" and "b" represent the legs and "c" represents the hypotenuse of the right triangle.

Let's substitute the given lengths into the equation:

[tex]28^2+45^2=x^2\\784+2025=x^2\\x^2=2809[/tex]

Take the square root of both sides:

[tex]\sqrt{x^2}=\sqrt{2809}[/tex]

[tex]x=53[/tex]

The square of the quantity three less than a number n is seven(answer in an algebraic expression)

Answers

Answer:

[tex](n - 3)^2 = 7[/tex]

Step-by-step explanation:

From the question, we understand that the number is n.

Three less than n is:

[tex]n - 3[/tex]

The square is:

[tex](n - 3)^2[/tex]

The square equals 7;

So, we have:

[tex](n - 3)^2 = 7[/tex]

To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds. Use this to answer 2b. (2b) There are ________ cups of pretzels for every cup of raisins.

Answers

I think answer should be 8 please give me brainlest let me know if it’s correct or not okay thanks bye

PLS HELP ASAP!!!
What is the x-intercept of the line with this equation 1/3x +y=-15?
Enter your answer in the box.


(_,0)

Answers

Answer:

(-45,0)

Step-by-step explanation:

We know that the x intercept is the point where y equals '0' in an equation. Which means in a function including the y value as a variable, we can substitute 0 for y to get the x intercept!

Here's how you do it:

[tex]1/3x + y = -15\\y=0\\1/3x + (0) = -15\\1/3x = -15\\x = -45[/tex]

That makes the x intercept -45!

Hope I was of assistance!  #SpreadTheLove <3

x- intercept = -45

Step-by-step explanation:

equation: 1/3x + y = -15

=> to find intercept, y=0

=> 1/3x + 0 = -15

=> 1/3x = -15

=> 1x = -15 × 3

=> x = -45 / 1

=> x = -45

Easy Question!

What is the value of x?

Answers

This answer is 58 because that angle is 90 an 99+22=112 180-112=58

Answer:

X+22°=90°

X=90°-22°

X=68°

A bridge has a sign that says “Maximum Weight 6 Tons.” If a truck weighs 13,000 pounds, is it too heavy to cross the bridge?

Answers

Answer:

Yes

Step-by-step explanation:

1 ton = 2000 pounds

6 tons = 12000 pounds

13000>12000

The truck is 1000 pounds overweight so yes it is too heavy to cross the bridge.

Which value of x solves the equation below?
10(x - 1) = 8x - 2

x = 6
X = 4
x = 5
x = 2

Answers

x=4

10x - 10 = 8x - 2
-8x -8x
2x - 10 = -2
+2 +2
2x - 8 = 0
2x = 8
/2 /2
x=4

smh other one didnt work what is this someone please tell me

Answers

Answer:

x > 125

Step-by-step explanation:

I'm not sure how much you know about solving equations, but solving inequalities is in many ways very similar.

In this inequality, to isolate x, we must multiply both sides of the inequality by 25. This will put x by itself with another number on the other side of the inequality symbol. 5 times 25 is 125, so our final inequality is x > 125.

Hopefully, that's helpful! Let me know if you have any more questions.

Select the correct answer.
If and , find .

A.

B.

C.

D.

Answers

Answer:

C

Step-by-step explanation:

f(x) - g(x)

= [tex]\sqrt{x}[/tex] - x - (2x³ - [tex]\sqrt{x}[/tex] - x) ← distribute parenthesis by - 1

= [tex]\sqrt{x}[/tex] - x - 2x³ + [tex]\sqrt{x}[/tex] + x ← collect like terms

= - 2x³ + 2[tex]\sqrt{x}[/tex]

The answer is A
The rest doesn't comply with f(X)-g(X)

Jordan and Raj each bake 7 batches of muffins. Jordan makes 18 muffins per batch, and Raj makes 15 muffins per batch. They combine their muffins and put all of them into boxes. They fill as many boxes as possible with 6 muffins each. They place the remaining muffins in the last box.

Enter your answers in the boxes.

How many full boxes do they make, and how many muffins will be in the last box?

Answers

i cant understand it much.

Answer:

Step-by-step explanation: Jordan's batches have 18 muffins a piece he made 7 bathes so 7 times 18 equals 126 muffins. Raj's batches have 15 muffins per batch which he also makes 7 batches of so 7 times 15 is 105. The boys then add all their muffins together so 126 muffins plus 105 muffins is 231 muffins. They then have to divide the muffins into boxes that can hold up to 6 muffins each so  you are dividing 231 divided by 6 so the answer is 38 full boxes and 3 muffins left in the last box ( I just took the test and that was the answer)

PLSSS HELP

The part of a whole is called?


The part of a whole is called?

a share
b fraction
c factor
d piece

Answers

Answer:

fraction is called as the part of a whole

A part of a whole is a fraction because it’ll be like 1/2
Other Questions
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