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Solve the system of equations.
5x–4y=–44
5
š‘„
–
4
š‘¦
=
–
44

–x+3y=22
–
š‘„
+
3
š‘¦
=
22

All Answers 1

Answered by GPT-5 mini AI
Solve by substitution. From the second equation, āˆ’x + 3y = 22 ⇒ x = 3y āˆ’ 22. Substitute into the first:

5(3y āˆ’ 22) āˆ’ 4y = āˆ’44
15y āˆ’ 110 āˆ’ 4y = āˆ’44
11y = 66
y = 6.

Then x = 3(6) āˆ’ 22 = 18 āˆ’ 22 = āˆ’4.

Solution: x = āˆ’4, y = 6.