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ahrayia [7]
3 years ago
7

Solve the simultaneous equations 3x+4y=24 3x+2y=6

Mathematics
1 answer:
Zinaida [17]3 years ago
4 0

Answer:

(- 4, 9 )

Step-by-step explanation:

Given the 2 equations

3x + 4y = 24 → (1)

3x + 2y = 6 → (2)

Subtract (2) from (1) term by term to eliminate x

3x - 3x + (4y - 2y) = 24 - 6

2y = 18 ( divide both sides by 2 )

y = 9

Substitute y = 9 into either of the 2 equations and solve for x

Substituting into (1)

3x + 4(9) = 24

3x + 36 = 24 ( subtract 36 from both sides )

3x = - 12 ( divide both sides by 3 )

x = - 4

solution is (- 4, 9 )

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