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4 votes
6x — 8y = 50
4х +6y = 22

User Mfuchs
by
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1 Answer

2 votes

Answer:

x = 7, y = - 1

Explanation:

Given the 2 equations

6x - 8y = 50 → (1)

4x + 6y = 22 → (2)

Multiplying (1) by 6 and (2) by 8 and adding will eliminate the y- term

36x - 48y = 300 → (3)

32x + 48y = 176 → (4)

Add (3) and (4) term by term to eliminate y

68x = 476 ( divide both sides by 68 )

x = 7

Substitute x = 7 into either of the 2 equations and evaluate for y

Substituting into (2)

4(7) + 6y = 22

28 + 6y = 22 ( subtract 28 from both sides )

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

y = - 1

Solution is x = 7, y = - 1

User Pramuka
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8.0k points