Question

A student concluded that 0.5(6x+4) = 3x+4 has no solution. Which statement BEST describes the student's conclusion? A.) The conclusion is correct because the coefficient before the variable is equivalent. B.) The conclusion is incorrect because there is exactly one solution to the equation. C.)The conclusion is correct because, when simplified, both sides of the equation are equivalent. D.)The conclusion is incorrect because there are two solutions to the equation.

Answer 1

The conclusion is correct because the coefficient before the variable is equivalent.

Explanation:

The given equation is :

0.5(6x+4) = 3x+4

First, we will solve the equation.

3x+2=3x+4

A student concluded that the above equation has no solution. The conclusion is correct because the coefficient before the variable is equivalent. Hence, the correct option is (a).