1
Find the solution to the system of equations below:

y = 4x + 20

y = 8x - 4

1 Answer

2

Answer:

(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

Step-by-step 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
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Prof. Felix Rath
15.5k 3 10 26
answered 9 months ago