Find the solution for the system of linear equations by substitution: y = 3x + 4 and y = x + 2. Explain how you found the solution.

(-1, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations by substitution/elimination

Step-by-step explanation:

Step 1: Define systems

y = 3x + 4

y = x + 2

Step 2: Solve for x

Substitute:                              3x + 4 = x + 2Subtract x on both sides:      2x + 4 = 2Subtract 4 on both sides:      2x = -2Divide both sides by 2:          x = -1

Step 3: Solve for y

Define:                    y = x + 2Substitute:              y = -1 + 2Add:                        y = 1

And we have our answer!