Question

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

Answer 1

Hi ,

According to the problem given,

2x + cy = 8 ------ ( 1 )

And

x = y -------------( 2 )

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

2x + cx = 8

Take x common

x ( 2 + c ) = 8

x = 8 / ( 2 + c )

But denominator should not be zero

2 + c not equals to zero

c is not equals to -2

and c = 0 , 2 and 6 satisfies the condition

2x + cy = 8

has equal values of x and y.

I hope this helps you.

:)

Answer 2

Answer:

The value of c is $\frac{ 8 - 2y}{y}$ or $\frac{ 8 - 2x}{x}$

Step-by-step explanation:

Given,

2x + cy= 8

The values of x and y are equal

To find,

The value of 'c'

Solution:

2x + cy= 8

Substitute x = y in the above equation

2y + cy = 8

cy = 8 -2y

c = $\frac{ 8 - 2y}{y}$

∴The value of c is $\frac{ 8 - 2y}{y}$ or $\frac{ 8 - 2x}{x}$

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