For what value of c, the linear equation 2x + | vedclass

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(B) Given the linear equation: $2x + cy = 8$.We are looking for the value of $c$ such that $x = y$.Substitute $y = x$ into the given equation:$2x + c(

Vedclass · Accepted Answer

$c = 2$

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(B) Given the linear equation: $2x + cy = 8$.We are looking for the value of $c$ such that $x = y$.Substitute $y = x$ into the given equation:$2x + c(x) = 8$$x(2 + c) = 8$$x = \frac{8}{2 + c}$Since the question implies a specific value for $c$ that satisfies the condition for any solution where $x=y$,we look at the structure of the equation. If we assume a specific point like $(2, 2)$ which satisfies $x=y$:$2(2) + c(2) = 8$$4 + 2c = 8$$2c = 4$$c = 2$Thus,for $c = 2$,the equation becomes $2x + 2y = 8$,or $x + y = 4$,which clearly allows for the solution $x = y = 2$.

$x$	$0$	$1$	$2$	$3$	$4$
$y$	$2$	$4$	$6$	$8$	$10$

For what value of $c,$ the linear equation $2x + cy = 8$ has equal values of $x$ and $y$ for its solution?

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