Question

Find the solution for the system of linear equations by elimination: -3x + y = 2, 4x - y = 4 Explain how you found the solution.

Answer 1

`x = 6 \\ y = 20`

Explanation:

1. Add the equations. The y's cancel out.

`+ 4x - y = + 4 \\ - 3x + y = + 2 \\ - - - - - - - \\ x = 6`

2. Embed x in either equation and find y.

`4x - y = 4 \\ 4(6) - y = 4 \\ 24 - y = 4 \\ 20 - y = 0 \\ y = 20`