Question

What is the solution to the system of linear equations?

6x+y=14

-2x-y=-2

Answer 1

`x=3\\y=-4`

Explanation:

1. You can solve this system of equations by applying the Method of elimination.

2. You can add both equations to cancel the variable
`y` and the solve for
`x`:

`4x=12\\x=3`

3. Substitute this value into one of the original equations:

`6(3)+y=14\\18+y=14\\y=-4`

4. Therefore, the solution of the system of equations is the point (3,-4).