Question

Which oddered pair is the the system of equation?

Answer 1

Answer:

(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

Step-by-step 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.