48.0k views
0 votes
How many solutions does this equation have?

5w + 6 = –6(–9w − 1) + 15w

1 Answer

5 votes

Final answer:

The equation 5w + 6 = –6(–9w – 1) + 15w has one unique solution, w = 0.

Step-by-step explanation:

The student asked: How many solutions does this equation have?

Let's solve the equation step by step:

5w + 6 = –6(–9w – 1) + 15w

Multiply through the parentheses:

5w + 6 = 54w + 6 + 15w

Combine like terms:

5w + 6 = 69w + 6

Subtract 5w from both sides:

6 = 64w + 6

Subtract 6 from both sides:

0 = 64w

Divide by 64:

w = 0

The equation has one unique solution, which is w = 0.

User Aakash Dave
by
8.6k points

Related questions

1 answer
3 votes
67.6k views
2 answers
1 vote
74.6k views
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.