Question

Find the solution to the system of equations below:

y = 4x + 20

y = 8x - 4

Answer 1

(6, 44)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

y = 4x + 20

y = 8x - 4

Step 2: Solve for x

Substitution

1. Substitute in y: 8x - 4 = 4x + 20
2. Subtract 4x on both sides: 4x - 4 = 20
3. Add 4 on both sides: 4x = 24
4. Divide 4 on both sides: x = 6

Step 3: Solve for y

1. Define equation: y = 8x - 4
2. Substitute in x: y = 8(6) - 4
3. Multiply: y = 48 - 4
4. Subtract: y = 44