Question

−6y+13+9y=8y−3 How many solutions are there? A. No solutions

B. One solution
C. Infinite solutions

Answer 1

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

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.