Is (–3,4) a solution to this system of equations?

y=2x+8
y=x+7

1 answer

To determine if (-3, 4) is a solution to the system of equations y = 2x + 8 and y = x + 7, we can substitute the given values of x and y into both equations and see if they hold true.

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

For the second equation y = x + 7:
y = -3 + 7
y = 4

Since the given values of x and y (-3, 4) make both of the equations true, (-3, 4) is indeed a solution to the system of equations.