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.

Let's use the elimination method here.

First, let's multiply the second equation by 5 so that the coefficients of x will be opposite and we can eliminate x when we add the two equations together.

5(-x + 3y) = 5(22)
-5x + 15y = 110

Now, we will add the two equations together

5x - 4y = -44
-5x + 15y = 110
___________________
11y = 66
y = 6

Now, we can substitute the value of y back into either of the original equations to solve for x. Let's use the first equation.

5x - 4(6) = -44
5x - 24 = -44
5x = -20
x = -4

Therefore, the solution to the system of equations:
5x - 4y = -44
-x + 3y = 22

is x = -4 and y = 6. The solution is (-4, 6).