Question

4x - 3y = 1
-8x + 6y = -2

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

4x - 3y = 1

-8x + 6y = -2

Step 2: Rewrite systems

-8x + 6y = -2

1. Add 8x to both sides: 6y = 8x - 2
2. Divide 6 on both sides: y = 4/3x - 1/3

Step 3: Redefine systems

4x - 3y = 1

y = 4/3x - 1/3

Step 4: Solve for x

Substitution

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

Here we see that 1 does indeed equal 1.

∴ x = all real numbers/infinite amount of solutions

Step 5: Graph

Check the systems.

We see that the 2 equations are the same line.