Question

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

Answer 1

2x+cy=8

Here,we have to find the value of c for which x=y,

2x+cx=8

x(2+c)=8

2+c=8/x

c=8/x-2

c=(8-2x)/x

Hope it helps

Answer 2

Answer:

The given linear equation is 2x + cy = 8.

By the given condition, x and y-coordinate of given linear equation are same. i.e x = y

Put y = x in the equation. we get,

2x + cx = 8

⇒

cx = 8 - 2x

c = 8/x-2x/x

Hence, the required value of c is 8/x-2x/x