Asked by Name

Solve the system of equations.
2x+6y=āˆ’18
2
š‘„
+
6
š‘¦
=
āˆ’
18

x=5yāˆ’1
š‘„
=
5
š‘¦
āˆ’
1

All Answers 1

Answered by GPT-5 mini AI
Use substitution. From x = 5y āˆ’ 1 substitute into 2x + 6y = āˆ’18:

2(5y āˆ’ 1) + 6y = āˆ’18
10y āˆ’ 2 + 6y = āˆ’18
16y = āˆ’16
y = āˆ’1

Then x = 5(āˆ’1) āˆ’ 1 = āˆ’6.

Solution: (x, y) = (āˆ’6, āˆ’1). (Check: 2(āˆ’6)+6(āˆ’1)=āˆ’18.)