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How to solve this 6x+4y=30
5x-2y=1

1 Answer

5 votes

Answer:

(2, 4.5 )

Explanation:

Given the 2 equations

6x + 4y = 30 → (1)

5x - 2y = 1 → (2)

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

10x - 4y = 2 → (3)

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

16x + 0 = 32

16x = 32 ( divide both sides by 16 )

x = 2

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

Substituting into (1)

6(2) + 4y = 30

12 + 4y = 30 ( subtract 12 from both sides )

4y = 18 ( divide both sides by 4 )

y = 4.5

solution is (2, 4.5 )

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