Question

What is the solution to the following system of equations?

4x + 2y = 6
x − y = 3

Answer 1

x = 2, y = -1

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Answer 2

x = 2, y = -1

Explanation:

4x + 2y = 6 ------- eq 1

x − y = 3 -------- eq 2

Using elimation method:

eq 2 x 2

2 (x − y)= 2(3 )

2x - 2y = 6 ---- eq 3

eq 1 + eq 3

4x + 2y + 2x - 2y = 6 + 6

6x = 12

x = 2 (sub this back into eq 2)

x − y = 3

2 − y = 3

-y = 3 - 2

-y = 1

y = -1