Is (1,–2) a solution to this system of equations?

Question

y=–8x+6
y=8x–10

Answer 1

To determine if (1,-2) is a solution to the system of equations, we can substitute the values into the equations:

For the first equation:
y = -8x + 6
-2 = -8(1) + 6
-2 = -8 + 6
-2 = -2

For the second equation:
y = 8x - 10
-2 = 8(1) - 10
-2 = 8 - 10
-2 = -2

Since both equations hold true when the values are substituted, we can conclude that (1,-2) is a solution to the system of equations.