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Karolina [17]
3 years ago
10

Solve: 2x - 3y = 9 and x + 2y = 1​

Mathematics
1 answer:
mash [69]3 years ago
4 0

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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