Question
Solve by elimination $3 x=y+5$ and $5 x-y=11$
✓
Answer
$3 x=y+5$
$\Rightarrow 3 x-y=5 \ldots \ldots(i)$
And
$5 x-y=11 \ldots \ldots(ii)$
Subtracting $(i)$ from $(ii)$
$5 x-y=11$
$3 x-y=5$
$\frac{-\quad+-}{2 x=6}$
$\Rightarrow x=3$
Substituting in $(ii)$
$5(3)-y=11$
$15-y=11$
$-y=11-15$
$-y=-4$
$y=4$
Thus, the solution is given by
$x=3 \text { and } y=4$
$\Rightarrow 3 x-y=5 \ldots \ldots(i)$
And
$5 x-y=11 \ldots \ldots(ii)$
Subtracting $(i)$ from $(ii)$
$5 x-y=11$
$3 x-y=5$
$\frac{-\quad+-}{2 x=6}$
$\Rightarrow x=3$
Substituting in $(ii)$
$5(3)-y=11$
$15-y=11$
$-y=11-15$
$-y=-4$
$y=4$
Thus, the solution is given by
$x=3 \text { and } y=4$
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