Solve the following pair of linear equations | vedclass

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Question

(A) To solve the system of equations $x + y = 8$ and $x - y = 2$ graphically:$1$. For the equation $x + y = 8$,we find two points: If $x = 0, y = 8$;

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$(5, 3)$

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(A) To solve the system of equations $x + y = 8$ and $x - y = 2$ graphically:$1$. For the equation $x + y = 8$,we find two points: If $x = 0, y = 8$; if $x = 8, y = 0$. The line passes through $(0, 8)$ and $(8, 0)$.$2$. For the equation $x - y = 2$,we find two points: If $x = 0, y = -2$; if $x = 2, y = 0$. The line passes through $(0, -2)$ and $(2, 0)$.$3$. Plotting these two lines on a Cartesian plane,they intersect at the point $(5, 3)$.$4$. Therefore,the solution is $x = 5$ and $y = 3$.

Solve the following pair of linear equations in two variables using a graph: $x + y = 8$ and $x - y = 2$.

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