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USPshnik [31]
3 years ago
12

Find the solution to the system of equations below: y = 4x + 20 y = 8x - 4

Mathematics
1 answer:
bija089 [108]3 years ago
4 0

Answer:

(6, 44)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = 4x + 20

y = 8x - 4

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                              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

<u>Step 3: Solve for </u><em><u>y</u></em>

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