Question

Which value(s) of the variable make the denominator zero in the equation 2/7x + 1/4 = 53/14x - 1/3?

a) x = 0
b) x = 1/7
c) x = 3/8
d) x = 2/5

Answer 1

To find the values of the variable that make the denominator zero in the equation, we need to set the denominators of both sides of the equation equal to zero and solve for x. The only value that makes the denominator zero is x = 0.

Step-by-step explanation:

To find the values of the variable that make the denominator zero in the equation, we need to set the denominators of both sides of the equation equal to zero and solve for x.

For the left side, 7x cannot be zero, so x = 0 is not a valid solution.

For the right side, 14x cannot be zero, so x = 0 is not a valid solution.

Setting 7x = 0, we find x = 0, and setting 14x = 0, we find x = 0. Therefore, x = 0 is the value that makes the denominator zero in the equation.