Question

−6y+13+9y=8y−3 How many solutions are there? A. No solutions
B. One solution
C. Infinite solutions

Answer 1

Answer:

B. One solution

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right  

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients

Step-by-step explanation:

Step 1: Define

-6y + 13 + 9y = 8y - 3

Step 2: Solve for y

1. Combine like terms:                                                                                         13 + 3y = 8y - 3
2. [Addition Property of Equality] Add 3 on both sides:                                     16 + 3y = 8y
3. [Subtraction Property of Equality] Subtract 3y on both sides:                      16 = 5y
4. Rewrite:                                                                                                             5y = 16
5. [Division Property of Equality] Divide 5 on both sides:                                  y = 16/5

∴ We can see by solving the equation, we get 1 solution only.