Question

Question 9
For what value of C, the linear equation 2x + cy = 8 has equal values of x and y for its solution?

Answer 1

The given linear equation is 2x + cy = 8 .........(i)
By the given condition, x and y-coordinate of given linear equation are same. i.e x = y
Put y = x in the equation(i). we get,

$2x+cx=8$
$\Rightarrow cx=8-2x$
$c=\frac{8-2x}{x},x\ne 0$

Hence, the required value of c is $\frac{8-2x}{x}$.