Use elimination method for solving the following equations:
$x + y = 3$ , $3 x - y = 5$

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Solution

Given equations are
$x + y = 3$ ....(1)
and $3 x - y = 5$ ....(2)
Add both equations to eliminate $y$ , we get
$4 x = 8$
$\Rightarrow x = 2$
Substitute this value of $x$ in equation (1),
$2 + y = 3$
$\Rightarrow y = 3 - 2$
$\Rightarrow y = 1$
Therefore, the solution is $x = 2, y = 1$ .

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