Answer:
Infinite amount of solutions.
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
- Equality Properties
Algebra I
- Solving systems of equations using substitution/elimination
Explanation:
Step 1: Define systems
y = -3x - 2
4y = -12x - 8
Step 2: Solve for x
- Substitute in y: 4(-3x - 2) = -12x - 8
- Distribute 4: -12x - 8 = -12x - 8
- Add 8 to both sides: -12x = -12x
- Divide both sides by -12: x = x
Here we see that x does indeed equal to x. Therefore, x can be any value.
∴ The systems of equations have infinite amount of solutions.