Question

-9x - 5y = 26
4x -4y = -24

Answer 1

(-4, 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

Explanation:

Step 1: Define systems

-9x - 5y = 26

4x - 4y = -24

Step 2: Rewrite systems

4x - 4y = -24

1. Add 4y to both sides: 4x = 4y - 24
2. Divide 4 on both sides: x = y - 6

Step 3: Redefine systems

-9x - 5y = 26

x = y - 6

Step 4: Solve for y

Substitution

1. Substitute in x: -9(y - 6) - 5y = 26
2. Distribute -9: -9y + 54 - 5y = 26
3. Combine like terms: -14y + 54 = 26
4. Isolate y term: -14y = -28
5. Isolate y: y = 2

Step 5: Solve for x

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

Step 6: Graph

Check the solution set.