Question

How many solutions does the equation have? 6h−(9−3h)=6−3(h+2)
A. 0
B. 1
C. infinitely many

Answer 1

Solution: The equation have one solution, so the correct option is B.

Explanation:

The given equation is $6h-(9-3h)=6-3(h+2)$

Use distributive property to simplify the equation.

$6h-(9)-(-3h)=6-3(h)-3(2)\\6h-9+3h=6-3h-6\\9h-9=-3h$

Separate the likely terms.

$9h+3h=9\\12h=9\\h=\frac{9}{12} \\h=\frac{3}{4}$

The only value of h is $\frac{3}{4}$.

Therefore, the equation have one solution, so the correct option is B.