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22 votes
22 votes
X+2y=3;3x+5y=7 solve by elimination method

User Quickdraw Mcgraw
by
2.8k points

2 Answers

18 votes
18 votes

Answer:

(2,1)

Explanation:

A P E X

User Tmullaney
by
3.1k points
4 votes
4 votes

Answer:

(- 1, 2 )

Explanation:

Given the 2 equations

x + 2y = 3 → (1)

3x + 5y = 7 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 3x - 6y = - 9 → (3)

Add (2) and (3) term by term to eliminate x

0 - y = - 2

- y = - 2 ( multiply both sides by - 1 )

y = 2

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

Substituting into (1)

x + 2(2) = 3

x + 4 = 3 ( subtract 4 from both sides )

x = - 1

solution is (- 1, 2 )

User Joel Cox
by
2.5k points
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