Solve the system of linear equations.

y=2x+2

4x−2y=16

no solution

(6, 14)

(2, -4)

infinitely many solutions

1 answer

There is no solution to this system of linear equations as the first equation is y = 2x + 2 and the second equation is 4x - 2y = 16.

If we substitute y = 2x + 2 into the second equation, we get 4x - 2(2x + 2) = 16
This simplifies to 4x - 4x - 4 = 16
Which further simplifies to -4 = 16, which is not possible.

Therefore, the system of linear equations has no solution.