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Graphical Method of Finding Solution of a Pair of Linear Equations

Determine, by...

Question

Determine, by drawing graphs, whether the following system of linear equation has a unique solution or not:
$2 y = 4 x - 6, 2 x = y + 3$

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Solution

Given $2 y = 4 x - 6$
$⟹ 2 x - y - 3 = 0 - - - - (1)$
$2 x = y + 3 ⟹ 2 x - y - 3 = 0 - - - - - (2)$
So from graph there exists infinite number of solutions.

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