Question

Does this equation have no solution, one solution, or infinite number of solutions x=y-3 2x-2y=-6

Answer 1

Infinite amount of solutions

General Formulas and Concepts:

Pre-Alg

• Order of Operations: BPEMDAS
• Equality Properties

Alg I

• Solving systems of equations by substitution/elimination

Explanation:

Step 1: Define systems

x = y - 3

2x - 2y = -6

Step 2: Solve for y

1. Substitute: 2(y - 3) - 2y = -6
2. Distribute 2: 2y - 6 - 2y = -6
3. Combine like terms: -6 = -6

Here we see that -6 does equal -6. Therefore, any value y would work as a solution. Hence, this systems of equations has an infinite amount of solutions.