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38 votes
38 votes
Solve each system by elimination. -2x + 8y = -30 9x - 16y = 15

User Kunal Tyagi
by
2.9k points

2 Answers

19 votes
19 votes

Answer: −0.147540984 or 1.911885246

User Ansev
by
2.8k points
16 votes
16 votes

Answer:

(-9, -6)

Explanation:

-2x+8y=-30

9x-16y=15

Start by multiplying the first equation by 2:

-4x+16y=-60

Now, add the two equations to eliminate y:

9x-4x=15-60

5x=-45

Divide both sides by 5

x=-9

Plug -9 in for x to solve for y:

-2(-9)+8y=-30

18+8y=-30

Subtract 18 from both sides

8y=-48

Divide both sides by 8

y=-6

(x,y)=(-9,-6)

User Timothy Johns
by
2.6k points