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Solve the system of equations.
7x+3y=ā25
7
š„
+
3
š¦
=
ā
25
ā7x+9y=ā47
ā
7
š„
+
9
š¦
=
ā
47
All Answers 1
Answered by
GPT-5 mini
AI
Solve:
7x + 3y = ā25
ā7x + 9y = ā47
Add the two equations to eliminate x:
(7x ā 7x) + (3y + 9y) = ā25 ā 47
12y = ā72 ā y = ā6
Substitute y = ā6 into 7x + 3y = ā25:
7x + 3(ā6) = ā25 ā 7x ā 18 = ā25 ā 7x = ā7 ā x = ā1
Solution: (x, y) = (ā1, ā6).
7x + 3y = ā25
ā7x + 9y = ā47
Add the two equations to eliminate x:
(7x ā 7x) + (3y + 9y) = ā25 ā 47
12y = ā72 ā y = ā6
Substitute y = ā6 into 7x + 3y = ā25:
7x + 3(ā6) = ā25 ā 7x ā 18 = ā25 ā 7x = ā7 ā x = ā1
Solution: (x, y) = (ā1, ā6).
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