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Solve using elimination.

10x + 6y = –2
2x + 6y = –10

User Otter
by
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1 Answer

1 vote

Answer:

(1, - 2 )

Explanation:

Given the 2 equations

10x + 6y = - 2 → (1)

2x + 6y = - 10 → (2)

Multiplying (2) by - 1 and adding to (1) will eliminate the y- term

- 2x - 6y = 10 → (3)

Add (1) and (3) term by term

(10x - 2x) + (6y - 6y) = (- 2 + 10), that is

8x = 8 ( divide both sides by 8 )

x = 1

Substitute x = 1 into either of the 2 equations.

Substituting x = 1 into (1)

10(1) + 6y = - 2

10 + 6y = - 2 ( subtract 10 from both sides )

6y = - 12 ( divide both sides by 6 )

y = - 2

Solution is (1, - 2 )

User PatrikJ
by
7.1k points