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Solve system of equations:

-8x - 10y = 10
3x + 2y = 12

1 Answer

7 votes

Answer:

x=10

y = -9

Explanation:

-8x - 10y = 10

3x + 2y = 12

Multiply the second equation by 5

5(3x + 2y) = 12*5

15x+10y = 60

Add this to the first equation to eliminate y

-8x - 10y = 10

15x+10y = 60

-----------------------

7x + 0y = 70

Divide by 7

7x/7 = 70/7

x = 10

Now find y

3x+2y = 12

3(10) +2y = 12

30 +2y =12

Subtract 30 from each side

2y = 12-30

2y = -18

Divide by 2

2y/2=-18/2

y = -9

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