Solve: ax + by = c bx + ay = 1 + c

Question

KnowledgeBoat · Accepted Answer

Given: ax + by = c ...................(1) bx + ay = 1 + c ...................(2) Multiplying equation (1) by b: (ax + by = c) x b ⇒ abx + b2y = bc ...................(3) Multiplying equation (2) by a: (bx + ay = 1 + c) x a ⇒ abx + a2y = a + ac ...................(4) Subtract Equation (4) from Equation (3), ⇒ y = Substituting the value of y in equation (3), we get: ⇒ abx + b2 = bc ⇒ abx = bc - ⇒ abx = ⇒ abx = ⇒ abx = ⇒ abx = ⇒ x = ⇒ x = ⇒ x = Hence, x = and y = .

Mathematics

Solve:
ax + by = c
bx + ay = 1 + c

Linear Equations

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The expression ax + by has value 7 when x = 2 and y = 1. It has value 1 when x = -1 and y = 1. Find a and b.

Mathematics

Solve:ax + by = cbx + ay = 1 + c