The expression on the left side of an equation is shown below. 3x+9= []
if the equation has no solution, which expression can be written in the box on the other side of the equation?
a. –9
b. –3
c. 3x
d. 3x + 9

C. 3x

Step-by-step explanation:

The first two choices give 1 solution each.

The last choice gives an infinite number of solutions.

Choice C. gives no solution.

3x + 9 = 3x

Subtract 3x from both sides.

9 = 0

Since 9 = 0 is false, equation 3x + 9 = 3x has no solution.

a negative exponent is translated as follows:

so, we have