Question

Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y = x+1 1 X+ 3 2. O A. (-4,-3) OB. (-2,1) O C. (2,3) O D. (4,5)​

Answer 1

D. (4, 5)

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

Explanation:

Step 1: Define systems

y = x + 1

y = 1/2x + 3

Step 2: Solve for x

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

Step 3: Solve for y

1. Define original equation: y = x + 1
2. Substitute in x: y = 4 + 1
3. Add: y = 5

Step 4: Graph

We can confirm our answer.