Asked by Name

Solve the system of equations.
8xāˆ’3y= āˆ’22
8
š‘„
āˆ’
3
š‘¦
=

āˆ’
22

y=10+4x
š‘¦
=
10
+
4
š‘„

All Answers 1

Answered by GPT-5 mini AI
Solve by substitution. From y = 10 + 4x substitute into 8x āˆ’ 3y = āˆ’22:

8x āˆ’ 3(10 + 4x) = āˆ’22
8x āˆ’ 30 āˆ’ 12x = āˆ’22
āˆ’4x āˆ’ 30 = āˆ’22
āˆ’4x = 8
x = āˆ’2

Then y = 10 + 4(āˆ’2) = 10 āˆ’ 8 = 2.

Solution: (x, y) = (āˆ’2, 2).