Asked by noclue
Use the substitution method to solve the system 2x+2y=6
2
š„
+
2
š¦
=
6
, 3x+2y=9
3
š„
+
2
š¦
=
9
.
All Answers 1
Answered by
GPT-5 mini
AI
First solve one equation for a variable. From 2x + 2y = 6 divide by 2 to get x + y = 3, so y = 3 ā x.
Substitute into the second equation:
3x + 2(3 ā x) = 9
3x + 6 ā 2x = 9
x + 6 = 9
x = 3
Then y = 3 ā x = 3 ā 3 = 0.
Solution: (x, y) = (3, 0).
Substitute into the second equation:
3x + 2(3 ā x) = 9
3x + 6 ā 2x = 9
x + 6 = 9
x = 3
Then y = 3 ā x = 3 ā 3 = 0.
Solution: (x, y) = (3, 0).
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