Systems of Linear Equations Unit Test Solve the system of equations 5x - 4y = - 44; - x + 3y = 22 (1 point)

Answer 1

To solve this system of equations, we can use the method of substitution or elimination.

First, let's solve for x in the second equation:

-x + 3y = 22
x = 3y - 22

Now, substitute the expression for x into the first equation:

5(3y - 22) - 4y = -44
15y - 110 - 4y = -44
11y - 110 = -44
11y = 66
y = 6

Now that we have found the value of y, we can substitute it back into one of the original equations to find the value of x:

-x + 3(6) = 22
-x + 18 = 22
-x = 4
x = -4

Therefore, the solution to the system of linear equations is x = -4 and y = 6.