Question

Which oddered pair is the the system of equation?

Answer 1

(3, -9)

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

-5x - 3y = 12

y = x - 12

Step 2: Solve for x

Substitution

1. Substitute in y: -5x - 3(x - 12) = 12
2. Distribute -3: -5x - 3x + 36 = 12
3. Combine like terms: -8x + 36 = 12
4. Isolate x term: -8x = -24
5. Isolate x: x = 3

Step 3: Solve for y

1. Define original equation: y = x - 12
2. Substitute in x: y = 3 - 12
3. Subtract: y = -9

Step 4: Graph systems

Check the solution set.