What is the solution for the system of equations? Use the substitution method to solve.

1 answer:

3 0

Y = 5 - 3x....so sub in 5 - 3x for y in the other equation

5x - 4y = -3
5x - 4(5 - 3x) = -3.....distribute the -4 thru the parenthesis
5x - 20 + 12x = -3...add 20 to both sides
5x + 12x = -3 + 20...combine like terms
17x = 17...divide both sides by 17
x = 17/17
x = 1

now sub 1 in for x into either of the original equations to find y
y = 5 - 3x
y = 5 - 3(1)
y = 5 - 3
y = 2

check...
5x - 4y = -3
5(1) - 4(2) = -3
5 - 8 = -3
-3 = -3 (correct)

so ur solution is (1,2)

You might be interested in

there are 8 streets to be named after 8 tree types, the first four streets are Cedar, Willow, Pine, and Ash, without regard to o

katovenus [111]

What is the question?

3 0

3 years ago

Read 2 more answers

How does the graph of y = sec(x + 3) – 7 compare with the graph of y = sec(x)?

Alla [95]

Answer:

The function y = sec(x) shifted 3 units left and 7 units down .

Step-by-step explanation:

Given the function: y = sec(x)

If k is any positive real number, then the graph of f(x) - k is the graph of y = f(x) shifted downward k units.

If p is a positive real number, then the graph of f(x+p) is the graph of y=f(x) shifted to the left p units.

The function $y = \sec(x+3)-7$ comes from the base function y= sec(x).

Since 3 is added added on the inside, this is a horizontal shift Left 3 unit, and since 7 is subtracted on the outside, this is a vertical shift down 7 units.

Therefore, the transformation on the given function is shifted 3 units left and 7 units down

3 0

3 years ago

Read 2 more answers

The x - intercept of the function f(x) = x2 + 4x - 12 is:

Assoli18 [71]

Answer:

C) (-6,0)(2,0)

For x-intercept, f(x) = 0:

${ \tt{ {x}^{2} + 4x - 12 = 0 }} \\ { \tt{(x - 2)(x + 6) = 0}}$

8 0

2 years ago

Read 2 more answers

Beth wants to paint the four walls of her rectangular bedroom. Her room is 10 feet wide, 13 feet long, and 8 feet high. She will

Marat540 [252]

Answer:The answer is 1040

6 0

2 years ago

Read 2 more answers

Ivy’s father wanted to keep track of the gas he purchased for 3 weeks. He purchased 22.5 gallons during the first week and 19.71

wlad13 [49]

Total amount of gas purchased by Ivy's father in the first week = 22.5 gallons
total amount of gas purchased by Ivy's father in the second week = 19.71 gallons
Let us assume the amount of gas purchased by Ivy's father in the third week = x
The total quantity of gas purchased in 3 weeks by Ivy's father = 61.75 gallons
Then
22.5 + 19.71 + x = 61.75
42.21 + x = 61.75
x = 61.75 - 42.21
= 19.54 gallons
So 19.54 gallons of gas was bought by Ivy's father in the third week

3 0

3 years ago

Read 2 more answers