solve the system of equations

Question

-4x+6y-38
x-5y=-20 (1 point)

Answer 1

To solve the system of equations, we need to simultaneously solve both equations.

Our equations are:

-4x + 6y = 38 (equation 1)
x - 5y = -20 (equation 2)

Let's solve equation 2 for x:

x = 5y - 20

Now substitute this value of x into equation 1:

-4(5y - 20) + 6y = 38
-20y + 80 + 6y = 38
-14y + 80 = 38
-14y = -42
y = -42 / -14
y = 3

Now substitute the value of y back into x = 5y - 20:

x = 5(3) - 20
x = 15 - 20
x = -5

Therefore, the solution to the system of equations is x = -5 and y = 3.