Question

Solve the equation by using the combination method

3x-2y=12

-3x+8y=-6

Answer 1

Combine the 2 equations:

3x-2y=12

-3x+8y=-6

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6y = 6, which tells us that y=1.

Now subst. 1 for y in the 2nd equation: -3x +8(1) = -6.

Then 14=3x, and x = 14/3.

The solution is (14/3,1).