Q1 of 71 Page 58

Solve the following pairs of linear equations by the method of substitution:

x — y = 3, 3x — 3y = 9

x – y = 3

⇒ x = y + 3 …[1]


By substituting eq[1] in 3x – 3y = 9


3(y + 3) – 3y = 9


9 = 9


The equation is independent of any variable and is true and therefore


the pair of linear equations are concurrent and satisfies all real values of x and y.


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