Question

Determine whether the equation 3(4g+6)=2(6g+9) has one solution, no solution, or infinitely many solutions. The equation has . Question 2 If the equation has a solution, enter it below. If the equation has no solution or infinitely many solutions, leave the solution field blank.

Answer 1

3(4g + 6) = 2(6g + 9)

• Distribute 3 and 2 inside their respective parentheses.

12g + 18 = 12g + 18

• This equation is equal to each other, so that means your answer is:

Infinitely many solutions

Answer 2

So firstly, foil 3(4g + 6) and 2 (6g + 9): $12g+18=12g+18$

Now since the quantity is the same on both sides of this equation, this means that this equation has infinite solutions.