olve the system of equations.

5x–4y=–44
–x+3y=22 (1 point)
(
,
)

1 answer

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

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

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

Now we can substitute y = 6 back into the expression for x:
x = 3(6) - 22
x = 18 - 22
x = -4

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

So the coordinates of the solution are (-4, 6).
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