Question

Solve by either substitution or elimination. Explain your choice. Complete a check on your solution.

4x - y = 3
6x - 2y = 5

Answer 1

x = 1/2

y = -1

Explanation:

4x - y = 3

6x - 2y = 5

Times the first equation by -2

-8x + 2y = -6

6x - 2y = 5

-2x = -1

x = 1/2

Now put 1/2 in x to solve for y

4(1/2) - y = 3

2 - y = 3

-y = 1

y = -1

Let's check

4(1/2) - (-1) = 3

2 + 1 = 3

3 = 3

So, x = 1/2 & y = -1 is the correct answer.