Is (1,10) a solution to this system of equations?

y=8x+2
y=7x+3

1 answer

To determine if (1,10) is a solution to the system of equations y = 8x + 2 and y = 7x + 3, we need to substitute x = 1 into both equations and check if y = 10 in both cases.

For the first equation, y = 8(1) + 2 = 8 + 2 = 10.
For the second equation, y = 7(1) + 3 = 7 + 3 = 10.

Since y = 10 for both equations when x = 1, we conclude that (1,10) is a solution to the system of equations.