is (-2,4) a solution to the system of equations?

Question

3x+2y=2
−2x+y=8

Answer 1

To determine if (-2,4) is a solution to the system of equations, we substitute the values into each equation and check if they are true.

For the first equation:
3x + 2y = 2
3(-2) + 2(4) = 2
-6 + 8 = 2
2 = 2

The result is true for the first equation.

For the second equation:
-2x + y = 8
-2(-2) + 4 = 8
4 + 4 = 8
8 = 8

The result is true for the second equation.

Since (-2,4) satisfies both equations, it is indeed a solution to the system of equations.