Question

2x + 8y = 22
8x - 8y = 8

Answer 1

Answer:

(3, 2)

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

2x + 8y = 22

8x - 8y = 8

Step 2: Solve for x

Elimination

1. Add 2 equations together:                    10x = 30
2. Divide 10 on both sides:                         x = 3

Step 3: Solve for y

1. Define original equation:                    8x - 8y = 8
2. Substitute in x:                                     8(3) - 8y = 8
3. Multiply:                                                24 - 8y = 8
4. Subtract 24 on both sides:                 -8y = -16
5. Divide -8 on both sides:                      y = 2

Step 4: Graph systems

Check the systems.