Question

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

Answer 1

Hi friend,

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

Given,

2x + cy = 8

according to the question,

x = y

Put y=x in given linear equation,

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