Solve the following pair of linear equations | vedclass

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(A) Given equations are: $1) \, y + x = 5 \implies y = 5 - x$ $2) \, y - x = 9 \implies y = 9 + x$ To plot the graph, we find points for each line: Fo

Vedclass · Accepted Answer

$(-2, 7)$

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(A) Given equations are: $1) \, y + x = 5 \implies y = 5 - x$ $2) \, y - x = 9 \implies y = 9 + x$ To plot the graph, we find points for each line: For $y = 5 - x$: If $x = 0, y = 5$; If $x = 5, y = 0$. Points are $(0, 5)$ and $(5, 0)$. For $y = 9 + x$: If $x = 0, y = 9$; If $x = -9, y = 0$. Points are $(0, 9)$ and $(-9, 0)$. Solving algebraically for intersection: Adding the two equations: $(y + x) + (y - x) = 5 + 9 \implies 2y = 14 \implies y = 7$. Substituting $y = 7$ in $y + x = 5$: $7 + x = 5 \implies x = -2$. The point of intersection is $(-2, 7)$.

Solve the following pair of linear equations in two variables using the graphical method: $y + x = 5$ and $y - x = 9$.

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