Solve the system of equations:

Question

y = 5x - 12
y = x + 16

Answer 1

To solve this system of equations, we can set the two equations equal to each other since they both equal y:

5x - 12 = x + 16

Now, we can solve for x:

4x = 28
x = 7

Now that we found x, we can plug it back into one of the equations to solve for y. Let's use y = 5x - 12:

y = 5(7) - 12
y = 35 - 12
y = 23

Therefore, the solution to the system of equations is x = 7 and y = 23.