Question

Determine whether the following point is a solution to the system. Justify your answer. (-10,-1) y= 1x + 4 y = 4x + 30​

Answer 1

Answer: No, if you plug in the x and y values into the given equations, they do not equal each other. (-10, -1) is not the right solution for the system of equations.

Answer 2

No

Explanation:

Substitute -10 for x and -1 for y in both equations:

1(-10) + 4 = -6

4(-10) + 30 = -10

No, (-10, -1) is not a solution to this system; if it were, the two equations above would have the same result.

We can find the actual solution: Set y = x + 4 and y = 4x + 30 equal to each other: x + 4 = 4x + 30, or -26 = 3x; x = -26/3 (which differs from the x-coordinate in the given (-10, -1).