Question

Use the substitution method to solve the system of equations. Choose the correct ordered pair.

3x + y = 10
y = x – 2

Answer 1

Answer:

(3, 1)

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

3x + y = 10

y = x - 2

Step 2: Solve for x

1. Substitute:                    3x + (x - 2) = 10
2. Combine like terms:     4x - 2 = 10
3. Isolate x term:               4x = 12
4. Isolate x:                        x = 3

Step 3: Solve for y

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

And we have our answer!