Is (4,8) a solution to this system of equations?

17x–4y=15
15x–7y=4

1 answer

To determine if (4,8) is a solution to the system of equations, we substitute x = 4 and y = 8 into each equation and see if the equations are satisfied.

For the first equation:
17(4) - 4(8) = 15
68 - 32 = 15
36 = 15
This equation is false.

For the second equation:
15(4) - 7(8) = 4
60 - 56 = 4
4 = 4
This equation is true.

Since one of the equations gave us a false statement, we can conclude that (4,8) is not a solution to the system of equations.