Question

Which x coordinate is in the solution to the system of equation

y= -5x + 9
10x - 7y = -18

Answer 1

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