Is (5,7) a solution to this system of equations?

Question

y=3x–8
y=2x–3

Answer 1

To determine if (5,7) is a solution to this system of equations, we can substitute x=5 and y=7 into both equations and see if the results are true.

For the first equation, y = 3x - 8:
y = 3(5) - 8
y = 15 - 8
y = 7

For the second equation, y = 2x - 3:
y = 2(5) - 3
y = 10 - 3
y = 7

Since both equations evaluate to y = 7 when x = 5, the point (5,7) is a solution to the system of equations.