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Method of Substitution to Find the Solution of a Pair of Linear Equations

Solve for x a...

Question

Solve for x and y:

$\frac{b x}{a} - \frac{a y}{b} + a + b = 0, b x - a y + 2 a b = 0.$

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Solution

Given pair of linear equations are

On taking LCM we get
→ (1)

→(2)
Substitute the value of from equation (2) in equation (1)
Hence equation (1) becomes,

Put in equation (2), we get

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