Solve the following simultaneous equations: x + 2y = 1, 3x - y = 17

Question

KnowledgeBoat · Accepted Answer

Given, Equations : x + 2y = 1, 3x - y = 17 ⇒ x + 2y = 1 ⇒ x = 1 - 2y ....(1) Substituting value of x from equation (1) in 3x - y = 17, we get : ⇒ 3(1 - 2y) - y = 17 ⇒ 3 - 6y - y = 17 ⇒ -7y = 17 - 3 ⇒ -7y = 14 ⇒ y = = -2. Substituting value of y in equation (1), we get : ⇒ x = 1 - 2y ⇒ x = 1 - 2(-2) ⇒ x = 1 + 4 ⇒ x = 5. Hence, x = 5, y = -2.

Mathematics

Solve the following simultaneous equations:
x + 2y = 1, 3x - y = 17

Linear Equations

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Mathematics

Solve the following simultaneous equations:x + 2y = 1, 3x - y = 17

Linear Equations

Related Questions

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x + 2y = 1, 3x - y = 17

Solve the following simultaneous equations:
5x + 4y = 4, x - 12y = 20

Solve the following simultaneous equations:
x + 2y + 9 = 0, 3x + 4y + 17 = 0

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10x + 3y = 75, 6x - 5y = 11

Solve the following simultaneous equations:
7x - 2y = 20, 11x + 15y + 23 = 0