How do I find these equations using substitution y=-3x+5 and 5x-4y=-3 ?

Answers

Answer 1

Answer:

x=1

Step-by-step explanation:

you would change it to 5x-4(-3x+5)=-3, because you put the info for the first equation into the second equation.

5x-4(-3x+5)=-3

5x+12x-20=-3

17x-20=-3

17x=17

x=1

Answer 2

Answer:

(1,2)

Step-by-step explanation:

1) To solve using substitution, first isolate one of the variables in one of the equations. However, the y in y = -3x + 5 has already been isolated, so we don't need this step. Instead, take that value of y and substitute it for the y in the other equation, 5x - 4y = -3. So, substitute -3x + 5 for the y in 5x - 4y = -3 and solve:

[tex]5x-4(-3x+5)= -3\\5x+12x-20=-3\\17x-20=-3\\17x = 17\\x = 1[/tex]

2) So, x = 1. Now, take that value of x and substitute back into any of the equations to find the y value. (I chose to substitute it into y = -3x + 5, but either choice is fine). So, substitute 1 for the x in y = -3x + 5 and solve:

[tex]y = -3(1)+5\\y = -3+5\\y = 2[/tex]

So, y = 2. Thus, by knowing both x and y values, the solution would be (1,2).


Related Questions

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Answers

Answer:

(-17,-14)

Step-by-step explanation:

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Answers

The firs one is correct.

Answer:

the first one 24r+200=500

Select all the fractions that are represented by a repeating decimal .

Answers

Answer:

A e f

Step-by-step explanation:

Hope this was helpful!!!

During the first race, 13 people ran a 1.5 mile race. During the second race, 5 people ran a 2.2 mile race. How many more total miles did the competitors run during the first race compared to the second race?

Answers

Answer:

8.5

Step-by-step explanation:

The competitors in the first race ran 19.5 miles and the competitors in the second race ran 11.

I hope this helps and makes sense! :)

Describe the lines in the figure below identify the figure

Answers

Answer:

The lines are congruent, the figure is a parallelogram.

Answer:

The figure shown is a parallelogram.

The lines on the sides are parallel

And the line on the top and the line on the bottom are parallel

Step-by-step explanation:

find the value of 64°​

Answers

Answer:

The number 64 has 4 in the ones place and 6 in the tens place. Explore different numbers with your children. Discuss how many tens and how many ones (units) there are in each number.

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Step-by-step explanation:

Answer:

I cannot complete this without an image but the answer you might be looking for is 16/25 that is the number simplified when put into decimal form.

Step-by-step explanation:

I did the best I could with what you gave me Vote Brainiest!!

PLZZ HELP!!! WILL MARK BRAINLIEST IF CORRECT! A researcher posts a newspaper advertisement offering $10 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of the following statements is true about the sample? (5 points) Question 3 options: 1) It is not a valid sample because it is only a short study. 2) It is a valid sample because money is offered to participants. 3) It is a valid sample because the first 10 people were selected to participate. 4) It is not a valid sample because it is not a random sample of the population.

Answers

Answer:

1.) It is not a valid sample because it is only a short study

Step-by-step explanation:

Answer:

1.) It is not a valid sample because it is only a short study

Step-by-step explanation:

Hope this helped!! :)

Stay safe and have a wonderful afternoon!!!!!

What is the area??? I don't understand I have tried so hard.

Answers

8 * 5.7 = 45.6


Hope this helps!!!!

Answer:

should be 45.6

Step-by-step explanation:

Factorise these expressions
a.
[tex] {x}^{2} + 20x + 19[/tex]
b.
[tex] {z}^{2} - 2z + 1[/tex]
c.
[tex]9(x - 1) - 3x[/tex]

Answers

Answer:

a. (x+19)(x+1)

b. (z-1)(z-1)

c. 3(2x-3)

Step-by-step explanation:

a. x^2+20x+19

(x+19)(x+1)

b. z^2-2z+1

(z-1)(z-1)

c. 9(x-1)-3x

9x-9-3x

6x-9

3(2x-3)

compare using >,=,or <. -1.5_____-3/2. -4/5_____-5/4. -3/5_____-6/10. -2/3_____1/3

Answers

Answer:

-1.5 = -3/2

-4/5 > -5/4

-3/5 = -6/10

-2/3 < 1/3

Step-by-step explanation:

If you convert -3/2 into a decimal, it equals -1.5

-5/4 is an improper fraction which makes it greater than one, but since it is negative, it is further away from zero making it less than -4/5

-3/5 is the simplified form of -6/10. 3x2= 6 and 5x2=10

1/3 is positive making it greater than any negative

Researchers study the population of bass in a lake. The researchers catch, tag, and release 50 bass into the lake. During a fishing tournament the following week, competitors catch and release 525 bass, 15 of which had been previously tagged by the researchers.
What is the best estimate for the number of bass in the lake?

Answers

Answer: B.

Step-by-step explanation: 550 bass

What value of y makes this true?
25 - y = 15
a. 10
b. 8
c. 11
d. 9

Answers

y = 10

25-10=15


Hope this helps

Brainliest plzzzzz

Answer:

A. 10

Step-by-step explanation:

y = 10

Im the best mathmatician at my whole college so you can trust me

Lane is fourteen years older than Michelle. If Lane is 33, how old is Michelle?

Answers

Answer:

19

Step-by-step explanation:

if lane is 14 years older and he is 33 to find michelle's age you just have to subtract 14 from 33 and get that that michelle is 19

Answer:

Michelle would be 19 years old

Step-by-step explanation:

33 minus 14 years is 19 because he is 33 she is 14 years younger so she would be 19 years old

8x- 2 =54
helppp ? ??

Answers

x=7
hope this helps!!
8x-2=54
54+2=56
56/8= 7

X=7

3% of Americans are vegans. If you ask a random person whether he or she is a vegan, what is the probability that the person is not a vegan?

Answers

Answer:

97%

Step-by-step explanation:

100% - 3% = 97%

Hope this helps :)

3% is 3/100
P not vegan is 1-3/100 which is 97/100

Catherine has a roll of paper that is 27 feet long.
she is going to cut the paper into posters that are each one yard long.
How many posters will Catherine be able to make from her roll of paper

Answers

Answer:

9

Step-by-step explanation:

1 yard = 3 feet

27 / 3 = 9

9 + –2m = –31

What is M

Answers

Answer:

m=20

Step-by-step explanation:

9+(-2m)=-31

-2m=-31-9

-2m=-40

m=(-40)/(-2)

m=20

Solve for b

Solve for b : -3b+2.5=4

Answers

Answer: -0.5

Step-by-step explanation:

-3b = 4-2.5

-3b = 1.5

(-3b)/-3 = 1.5/-3

b = -0.5

Answer:

should be - 0.5

Step-by-step explanation:

- 3b + 2.5 = 4

1.Turn the equation around

1. -3b = -2.5 + 4.

1. The reason why you turn the 2.5 into a negative is because you basically doing the oppisite if that makes sence.

2. Add -2.5 + 4

2. -2.5 + 4 = 1.5

2. I just added.

3. Plug 1.5 into the equation. Like so

3. -3b = 1.5

3. I just replaced -2.4 + 4 with the answer

4. Divied -3b = 1.5

4. -3b/-3b = 1.5/-3b = -0.5

4. What you do to one side you have to do to the other so -3b/-3b is 0 or it just is not there anymore next you take -3b and divide it by 1.5 and get - 0.5 BAM.  

5. Plug -0.5 in for b.

5. -3(-0.5) + 2.5 = 4  

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Answers

Answer:

I think it is 5x+2y=41

Step-by-step explanation:

Jason has 3/4 ton of stone to spread equally in 3 square yards . How many tons of stone will be spread in each square.

Answers

Answer:

3/12 ton

Step-by-step explanation:

Given data

Jason has 3/4 ton of stone to spread equally in 3 square yards

Let us divide the 3/4 ton equally by 3 to get the final answer

solution

=3/4/3

=3/4*1/3

= 3/12

Hence each square will take 3/12 ton

4. The black triangle was transformed to
make the gray triangle. Which represents
the transformation?
A (x, y) + (x + 3, y + 3)
B (x, y) → (3x, 3y)
C (x,y) → (x-2, y-2)

Answers

The answer is B

Explanation:

The width of a rectangle is the length minus 3 units. The area of the rectangle is 40 units. What is the width, in unit, of the rectangle?

Answers

Answer: The width is 5

Step-by-step explanation:

The equation is x*(x-3)=40 solviing for x which is 8 but since width is x-3 then 8-3=5

A rectangle is inscribed in a circle. Find the area of the shaded region. Use 3.14 for .

Answers

Answer:

Find the area of both the square and circle and subtract the circle’s area from the square’s

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

(3) need help plz Asap

Answers

Answer:

brainlist plzz

Step-by-step explanation:

D....................................

Savings Accounts
Alyssa starts with $30 and saves $5 each week. Bill has $16 and saves $7 each
week. At what week will Alyssa and Bill have the same amount of money?

Answers

Answer:

7  weeks

Step-by-step explanation:

Given data

Alyssa starts with $30 and saves $5 each week

let the number of weeks be x

y= 30+5x----------1

Bill has $16 and saves $7 each

week.

y= 16+7x----------------2

equate 1 and 2

30+5x= 16+7x

30-16= 7x-5x

14= 2x

x= 14/2

x= 7  weeks

PLEASE HURRY
A gardener has a rectangular flowerbed. The length of the flowerbed is 5 feet more than the width. The perimeter of the flowerbed is 70 feet. Which equation can be used to find the width w in feet?
A. 2w + 5 = 70
B. 2(w+ 5) = 70
C. 2(2w+5) = 70
D. w(w+5) = 70

Answers

Absolutely B
So widths plus the 5 feet, then multiple by 2 (the two widths of the rectangle) equal the number of the perimeter of the flowerbed (70 feet).
2(w+5)=70

The equation for the perimeter is 2(2w + 5) = 70, to calculate the width.

What is a rectangle?

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

Given the perimeter of a rectangular flower bed = 70 feet

and the length of  the flowerbed is 5 feet more than the width,

let width be w

length = w + 5

perimeter is given by = P = 2(l + b)

P = 2(w + w + 5)

P = 2(2w + 5)

Hence option C is correct to find the width of the rectangular flowerbed.

Learn more about rectangles;

https://brainly.com/question/29067670

#SPJ5

pls help me with this problem its due in 10 minutes i do not need a full explanation

Answers

Answer:

20,781.64[tex]in^{3}[/tex]

Step-by-step explanation:

V = [tex]3.14*21^{2} *\frac{43}{3}[/tex]

good luck, i hope this helps :)

A helicopter landing pad has a length of 80 ft and a width of 50 ft. A safety zone of uniform width, which is not to be entered during landing, surrounds the landing pad. The landing pad and safety zone together have a combined area of 10800 ft2, what is the uniform width (safety zone) around the landing pad?

Answers

Step-by-step explanation:

Let w be the uniform width of the safety zone.

We have combined area = 10,800ft².

=> Combined area = Length * Width

= (80 + 2w)(50 + 2w)ft².

Therefore (80 + 2w)(50 + 2w) = 10,800.

=> 4,000 + 260w + 4w² = 10,800

=> 4w² + 260w - 6,800 = 0

=> w² + 65w - 1,700 = 0

=> (w - 20)(w + 85) = 0

=> w = 20 or w = -85

(w = -85 is rejected as width must be positive)

Hence the uniform width is 20ft.

Find the geometric mean of 24 and 45.

Answers

Hi! It’s 10 to the square root of 6.

The geometric mean of 24 and 45 is equal to 32.86.

Given the following data:

Numbers = 24 and 45.

What is geometric mean?

Geometric mean is an average value that is used to indicate the central tendency of a data set containing a group of numbers, especially by determining the product of their values.

Mathematically, geometric mean is given by this formula:

[tex]G=\sqrt[n]{x_1x_2...x_n}[/tex]

Substituting the given parameters into the formula, we have;

[tex]G = \sqrt[2]{24 \times 45} \\\\G = \sqrt{1080}[/tex]

G = 32.86.

Read more on geometric mean here: https://brainly.com/question/2292573

What is the slope???​

Answers

Answer:

detail below

Step-by-step explanation:

slope = difference of y/difference of x

m1 = (3-2) / (7-5) = 1/2

m2 = (-3 - -1) / (5 - 2) = -2/3

m3 = (3 - 6) / (-1 - -4) = -3/3 = -1

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