Question

Solve the system using the addition method. State your solution as an ordered pair.

3x+2y=56
9x-2y=4

Answer 1

The solution as an ordered pair is (-11/9, -15/2)

Explanation:

Multiply the first equation by -3. The resulting system is then

-9x - 6y = 56

9x - 2y = 4

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-8y = 60, or y = -7.5. From the second equation and this result y = -7.5, we know that 9x - 2(-7.5) = 4, or 9x = -15 + 4, or 9x = -11. Then x = -11/9. The solution as an ordered pair is (-11/9, -15/2).