Question

y=−5x+7

y=−2x+10
Estimate the solution to the system of these linear equations
show steps

Answer 1

To find the solution to the system of linear equations, we can set the two equations equal to each other and solve for the value of x:

-5x + 7 = -2x + 10
-5x + 2x = 10 - 7
-3x = 3
x = -1

Now that we have found x, we can substitute this back into one of the original equations to find the value of y. Let's use the first equation:

y = -5(-1) + 7
y = 5 + 7
y = 12

Therefore, the solution to the system of linear equations is x = -1 and y = 12.