Question

Solve the system using the method of you choice:

-x + 4y = 12

5x - 2y = -6

Answer 1

(0, 3)

Explanation:

Let's first eliminate x. To do this, multiply all three terms of the first equation by 5:

-5x + 20y = 60

5x - 2y = -6

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18y = 54, so that y = 3.

Substituting 3 for y in the first equation yields:

-x + 4(3) = 12, or -x = 0. Thus, x = 0, and the solution is

(0, 3)