Question

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

you found the solution.

Answer 1

Answer:
x= -1
y= 1

How: I took 3x + 4 and made it equal to x + 2, because they are each equal to Y. I solved for X, then plugged X in for one equation. Finally, I solved for Y

Work:

Answer 2

(-1, 1)

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

• Solving systems of equations by substitution/elimination

Explanation:

Step 1: Define systems

y = 3x + 4

y = x + 2

Step 2: Solve for x

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

Step 3: Solve for y

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

And we have our answer!