Find the solution to the system of equations below:

y = 4x + 20

y = 8x - 4

y = 4x + 20

y = 8x - 4

y = 4x + 20

y = 8x - 4

Asked
9 months ago

Viewed
112378 times

**Answer:**

(6, 44)

**General Formulas and Concepts:**

__Pre-Algebra__

Order of Operations: **BPEMDAS
**

- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction

- Left to Right

Equality Properties

__Algebra I__

- Solving systems of equations using substitution/elimination

**Step-by-step explanation:**

__Step 1: Define Systems__

y = 4x + 20

y = 8x - 4

__Step 2: Solve for ____x__

*Substitution*

- Substitute in
*y*: 8x - 4 = 4x + 20 - Subtract 4x on both sides: 4x - 4 = 20
- Add 4 on both sides: 4x = 24
- Divide 4 on both sides: x = 6

__Step 3: Solve for ____y__

- Define equation: y = 8x - 4
- Substitute in
*x*: y = 8(6) - 4 - Multiply: y = 48 - 4
- Subtract: y = 44

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