149k views
0 votes
Solve each system by elimination.
-4x + 8y = -24
7x - 5y = 24

1 Answer

2 votes

Answer:

The solution is the point (2,-2)

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)

User Elizabeta
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories