Is (4,8) a solution to this system of equations?
17x–4y=15
15x–7y=4
To determine whether (4,8) is a solution to the system of equations, we substitute x = 4 and y = 8 into the given equations and check if they are true.
For the first equation:
17x - 4y = 15
Replace x with 4, and y with 8:
17(4) - 4(8) = 15
68 - 32 = 15
36 = 15
The equation does not hold true, so (4,8) is not a solution to the first equation.
For the second equation:
15x - 7y = 4
Replace x with 4, and y with 8:
15(4) - 7(8) = 4
60 - 56 = 4
4 = 4
The equation holds true, so (4,8) is a solution to the second equation.
Since (4,8) satisfies only one of the equations, it is not a solution to the system of equations.