Solve: 2x - 3y = 9 and x + 2y = 1
1 answer:
Answer:
(3, - 1 )
Step-by-step explanation:
Given the 2 equations
2x - 3y = 9 → (1)
x + 2y = 1 → (2)
Rearrange (2) expressing x in terms of y by subtracting 2y from both sides
x = 1 - 2y → (3)
Substitute x = 1 - 2y into (1)
2(1 - 2y) - 3y = 9
2 - 4y - 3y = 9
- 7y + 2 = 9 ( subtract 2 from both sides )
- 7y = 7 ( divide both sides by - 7 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = 1 - 2(- 1) = 1 + 2 = 3
solution is (3, - 1 )
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