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bixtya [17]
3 years ago
15

Solve system of equations 3x+6y=18 X+3y=15

Mathematics
1 answer:
Anni [7]3 years ago
8 0

Answer:

x = - 12, y = 9

Step-by-step explanation:

Given the 2 equations

3x + 6y = 18 → (1)

x + 3y = 15 → (2)

Multiplying (2) by - 3 and adding to (1) eliminates the term in x

- 3x - 9y = - 45 → (3)

Add (1) and (3) term by term to eliminate x

- 3y = - 27 ( divide both sides by - 3 )

y = 9

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

Substituting into (2)

x + 3(9) = 15

x + 27 = 15 ( subtract 27 from both sides )

x = - 12

Solution is (- 12, 9 )

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