find the value of C the linear equation 2 X + C Y is equal to 8 has equal value of x + Y as its solution
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Answer with Explanation:
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 equal to -2.
And c = 0 , 2 and 6 satisfies the condition.
2x + cy = 8
has equal values of x and y.
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