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

Solution:

Given, the linear equation is 2x + cy = 8

The equation has equal values of x and y for the solution.

We have to find the value of c.

Given, x = y

Put y = x in the given equation,

2x + c(x) = 8

cx = 8 - 2x

c = (8 - 2x)/x

Where x is not equal to zero.

Therefore, the value of c is (8 - 2x)/x

✦ Try This: For what value of c, the linear equation cx + 3y = 7 has equal values of x and y for its solution.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4

NCERT Exemplar Class 9 Maths Exercise 4.3 Problem 9

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

Summary:

The general form of a linear equation is Ax + By = C. The value of c for which the linear equation 2x + cy = 8 has equal values of x and y for its solution is (8 - 2x)/x, where x is not equal to zero

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