Question

If you solve an equation by graphing each side separately, which of these is the solution to the equation?

A. the x-coordinate of the intersection point
B. the y-coordinate of the intersection point
C. both the x- and the y-coordinates of the intersection point
D. There is only a solution if the lines are identical.

Answer 1

9514 1404 393

Answer:

A. the x-coordinate of the intersection point

Explanation:

If you are solving ...

f(x) = g(x)

the solution is one or more values of x. That is still true if you rewrite the equation to be a system of equations ...

y = f(x)

y = g(x)

The value of y tells you the value of each side of the original equation where the solution causes the functions to be equal. That is largely irrelevant. What you're looking for is the value of x.

The solution is the x-coordinate of the intersection point.