To determine if (4, -7) is a solution to the system of equations, we substitute x = 4 and y = -7 into both equations and check if they are true.
For the first equation, y = -5/2x + 1, we have:
-7 = -5/2(4) + 1
Simplifying, we get:
-7 = -10 + 1
-7 = -9
Since -7 is not equal to -9, (4, -7) is not a solution to the first equation.
For the second equation, y = -3/2x - 1, we have:
-7 = -3/2(4) - 1
Simplifying, we get:
-7 = -6 - 1
-7 = -7
Since -7 is equal to -7, (4, -7) is a solution to the second equation.
Therefore, (4, -7) is not a solution to the system of equations.
