Question

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

2x - 3y = 5

4x + 2y = 18

Answer 1

(4, 1)

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

• Solving systems of equation using substitution/elimination

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!