Question

Find the solution to the following system (list as an ordered pair):

y=2/3x+4 2x-3y=-12

Answer 1

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

Explanation:

Step 1: Define systems

y = 2/3x + 4

2x - 3y = -12

Step 2: Solve for x

Substitution

1. Substitute in y: 2x - 3(2/3x + 4) = -12
2. Distribute -3: 2x - 2x - 12 = -12
3. 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.