Question

Solve the system of equations. 5x–4y=–44 –x+3y=22 (1 point)

Answer 1

Solve the system of equations. −6x+2y=−32 4x+3y=−9 (1 point)

Answer 2

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

Let's solve the system using the substitution method:

From the second equation, we can express x in terms of y:
-x + 3y = 22
=> x = 3y - 22

Now substitute this expression for x in the first equation:
5x - 4y = -44
=> 5(3y - 22) - 4y = -44
=> 15y - 110 - 4y = -44
=> 11y - 110 = -44
=> 11y = 66
=> y = 6

Substitute the value of y in either of the original equations to find x:
5x - 4y = -44
=> 5x - 4(6) = -44
=> 5x - 24 = -44
=> 5x = -44 + 24
=> 5x = -20
=> x = -4

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