Solve the following pair of linear equations | vedclass

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Question

(A) Given equations are:$1) x + y = 5$$2) 5x - 2y = 4$For equation $(1)$,if $x = 0$,then $y = 5$. If $y = 0$,then $x = 5$. Points are $(0, 5)$ and $(5

Vedclass · Accepted Answer

$(2, 3)$

Vedclass · Answer

(A) Given equations are:$1) x + y = 5$$2) 5x - 2y = 4$For equation $(1)$,if $x = 0$,then $y = 5$. If $y = 0$,then $x = 5$. Points are $(0, 5)$ and $(5, 0)$.For equation $(2)$,if $x = 0$,then $-2y = 4 \implies y = -2$. If $y = 0$,then $5x = 4 \implies x = 0.8$. Points are $(0, -2)$ and $(0.8, 0)$.By plotting these lines on a graph,the point of intersection is $(2, 3)$.Verification: $2 + 3 = 5$ (Correct) and $5(2) - 2(3) = 10 - 6 = 4$ (Correct).Thus,the solution is $(2, 3)$.

Solve the following pair of linear equations in two variables using a graph: $x + y = 5$ and $5x - 2y = 4$.

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