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Solve the system of equations using elimination: -2x-y=0 and -7x-8y=-36.

1 Answer

2 votes

Answer:

x = -4; y = 8

Explanation:

Step 1: Multiply the first equation by -8:

-8(-2x - y = 0)

16x + 8y = 0

Step 2: Add 16x + 8y = 0 and -7x - 8y = 0 to eliminate y and solve for x:

16x + 8y = 0

+

-7x - 8y = -36

----------------------------------------------------------------------------------------------------------(16x - 7x) + (8y - 8y) = (0 - 36)

(9x = -36) / 9

x = -4

Thus, x = -4.

Step 3: Solve for y by plugging in -4 for x in -2x - y = 0:

-2(-4) - y = 0

(8 - y = 0 ) - 8

(-y = -8) / - 1

y = 8

Thus, y = 8.

User Damir Manapov
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