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WINSTONCH [101]
3 years ago
8

Solve the system by substitution. y = x + 35 Y = 8x

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

Answer:

(5, 40)

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Coordinates (x, y)
  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

y = x + 35

y = 8x

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                8x = x + 35
  2. [Subtraction Property of Equality] Subtract <em>x</em> on both sides:                      7x = 35
  3. [Division Property of Equality] Divide 7 on both sides:                                 x = 5

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

  1. Define original equation:                                                                               y = 8(5)
  2. Multiply:                                                                                                            y = 40
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