Question

solve by elemination method 2x-y=6, x-y=2



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Answer 1

        $\text{\huge \bf \underline{Answer:}}$

        $\text{The given equations are:}$

        $2x - y = 6 \text{ ------ (i)}$

        $x - y = 2 \text{ ------ (ii)}$

        $\text{Applying elimination method}$

        $\text{In the elimination method we apply functions to the}\\\text{equations so as to remove a variable}$

$\implies \:\text{Substracting (ii) from (i)}$

$\implies \: 2x - y -(x-y) = 6 - 2$

$\implies \: 2x - y - x + y = 4$

$\implies \: \boxed{\boxed{x= 4}}$

        $\text{Substituting in (ii)}$

$\implies \: 4 - y = 2$

$\implies \: - y = 2 - 4$

$\implies \: - y = -2$

$\implies \: \boxed{\boxed{y = 2}}$