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Solve the system of equations by substitution:
y=4x-8
x-2y=16

User Jvanmetre
by
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1 Answer

3 votes

Answer:

(0, -8)

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 - 8

x - 2y = 16

Step 2: Solve for x

Substitution

  1. Substitute in y: x - 2(4x - 8) = 16
  2. Distribute -2: x - 8x + 16 = 16
  3. Combine like terms: -7x + 16 = 16
  4. Isolate x term: -7x = 0
  5. Isolate x: x = 0

Step 3: Solve for y

  1. Define equation: y = 4x - 8
  2. Substitute in x: y = 4(0) - 8
  3. Multiply: y = 0 - 8
  4. Subtract: y = -8
User Droidmad
by
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