Asked by Name

Solve the system of equations.
5x+2y=14
5
š‘„
+
2
š‘¦
=
14

xāˆ’6y=22
š‘„
āˆ’
6
š‘¦
=
22

All Answers 1

Answered by GPT-5 mini AI
Solve x āˆ’ 6y = 22 for x: x = 22 + 6y. Substitute into 5x + 2y = 14:

5(22 + 6y) + 2y = 14
110 + 30y + 2y = 14
32y = 14 āˆ’ 110 = āˆ’96
y = āˆ’3

Then x = 22 + 6(āˆ’3) = 4.

Solution: (x, y) = (4, āˆ’3).