Final answer:
To find the x-coordinate in the solution to the system of equations, we can solve one equation for x and substitute it into the other equation. The x-coordinate in the solution is -1.
Step-by-step explanation:
To find the x-coordinate that is in the solution to the system of equations, we can first solve one equation in terms of x and substitute it into the other equation. Let's solve the first equation, y = -5x + 9, for x:
x = (9 - y) / -5
Now, substitute this expression for x into the second equation, 10x - 7y = -18:
10((9 - y) / -5) - 7y = -18
Simplify and solve for y:
(90 - 10y) / -5 - 7y = -18
18 - 2y - 7y = -18
-9y = -36
y = 4
Now substitute this value for y back into the first equation to find the x-coordinate:
x = (9 - 4) / -5
x = -1