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Solve the system of equations
−5x−3y=−28 and x+2y=0 by combining the equations

User Katrix
by
2.2k points

1 Answer

12 votes
12 votes

Answer: (8, -4)

Explanation:

-5x - 3y = -28
x + 2y = 0

1. Multiply both sides of the bottom system by 5 to cancel the x out

5(x+2y=0)

5x + 10y = 0

2. rewrite

-5x - 3y = -28

5x + 10y = 0

3. add

0x + 7y = -28

4. divide by 7

7y = -28

5. y = -4

6. plug in -4 for y in one of the original equations

x + 2(-4) = 0

7. simplify

x = 8

9. solution is

(8, -4)

User Rebekah Waterbury
by
2.9k points
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