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Harlamova29_29 [7]
4 years ago
14

Solve each system by elimination. -4x + 8y = -24 7x - 5y = 24

Mathematics
1 answer:
White raven [17]4 years ago
6 0

Answer:

The solution is the point (2,-2)

Step-by-step explanation:

we have

-4x+8y=-24 -----> equation A

7x-5y=24 -----> equation B

step 1

Multiply by 7 equation A both sides

7(-4x+8y)=7(-24)

-28x+56y=-168 -----> equation C

step 2

Multiply equation B by 4 both sides

4(7x-5y)=4(24)

28x-20y=96 -----> equation D

step 3

Adds equation C and equation D

-28x+56y=-168\\28x-20y=96\\-----------\\56y-20y=-168+96\\36y=-72\\y=-2

Find the value of x

substitute the value of y in any equation

equation A

-4x+8(-2)=-24\\4x=-16+24\\4x=8\\x=2

therefore

The solution is the point (2,-2)

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