Solve the following pair of linear equations by the elimination method and the substitution method :
3x - 5y - 4 = 0 and 9x = 2y + 7

Question

Solve the following pair of linear equations by the elimination method and the substitution method : 3x - 5y - 4 = 0 and 9x = 2y + 7

KnowledgeBoat · Accepted Answer

Given, ⇒ 3x - 5y - 4 = 0 ⇒ 3x - 5y = 4 ..........(1) ⇒ 9x = 2y + 7 ⇒ 9x - 2y = 7 ..........(2) Multiplying equation (1) by 3, we get : 9x - 15y = 12 ..........(3) Subtracting equation (3) from (2), we get : ⇒ 9x - 2y - (9x - 15y) = 7 - 12 ⇒ 9x - 9x - 2y + 15y = -5 ⇒ 13y = -5 ⇒ y = . Substituting value of y in equation (1), we get : Hence, x = .

Mathematics

Solve the following pair of linear equations by the elimination method and the substitution method :
3x - 5y - 4 = 0 and 9x = 2y + 7

Linear Equations

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Solve the following pair of linear equations by the elimination method and the substitution method :3x - 5y - 4 = 0 and 9x = 2y + 7

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