Question

What is the solution to the system of linear equations?

6x+y=14

-2x-y=-2

Answer 1

Answer:

$x=3\\y=-4$

Step-by-step 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).