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
we know y = x
therefore,
2x + c*x = 8
cx = 8 - 2x
c = (8 -2x)/x { where x ≠ 0}
∴the value of c is (8 - 2x)/x

Answer 2

"The value of c can be 0, 2, and 6

Given:

2x + cy = 8

To find:

The value of c

Solution:

According to the problem given,

$2 x+c y=8 \rightarrow(1)$

From the question,

$x=y \rightarrow(2)$

Put y = x in equation (1), we get,

2x + cx = 8

Take x common

x(2+c) = 8

$x=\frac{8}{2+c}$

But denominator should not be zero

2 + c not equals to zero

c is not equals to -2

c = 0, 2, and 6 satisfies the condition

2x + cy = 8 has equal values of x and y."