Answer:
x = 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
- Solving systems of equations by graphing
Step-by-step explanation:
Step 1: Define systems
y = 2/3x + 4
2x - 3y = -12
Step 2: Solve for x
Substitution
- Substitute in y: 2x - 3(2/3x + 4) = -12
- Distribute -3: 2x - 2x - 12 = -12
- Combine like terms: -12 = -12
Here we see that -12 does indeed equal -12.
Therefore, our x would equal infinite amount of solutions.
Step 3: Graph systems
Check the systems.
We see that the 2 lines are the same.
