Question

Find the solution for the system of linear equations by substitution: y = x + 6
y + 2x = 0

Answer 1

(-2, 4)

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define systems

y = x + 6

y + 2x = 0

Step 2: Solve for x

1. Substitute: (x + 6) + 2x = 0
2. Combine like terms: 3x + 6 = 0
3. Isolate x term: 3x = -6
4. Isolate x: x = -2

Step 3: Solve for y

1. Define: y = x + 6
2. Substitute: y = -2 + 6
3. Add: y = 4

And we have our answer!