Question

Find the solution for the following equations using substitution or elimination:

2x - 3y = 5

4x + 2y = 18

Answer 1

Answer:

(4, 1)

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

• Solving systems of equation using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

2x - 3y = 5

4x + 2y = 18

Step 2: Rewrite systems

2x - 3y = 5

y = 9 - 2x

Step 3: Solve for x

1. Substitute:                              2x - 3(9 - 2x) = 5
2. Distribute -3:                          2x - 27 + 6x = 5
3. Combine like terms:              8x - 27 = 5
4. Add 27 on both sides:           8x = 32
5. Divide 8 on both sides:         x = 4

Step 4: Solve for y

1. Define:                    2x - 3y = 5
2. Substitute:              2(4) - 3y = 5
3. Multiply:                  8 - 3y = 5
4. Isolate y term:         -3y = -3
5. Isolate y:                 y = 1

And we have our final answer!