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4 votes
Solve the system of equations by substitution:

y=4x-10
y=x+2

User Analie
by
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2 Answers

4 votes
Plug in x + 2 for y
x + 2 = 4x - 10
Subtract x
2 = 3x - 10
Add 10, 12 = 3x, x = 4
Plug into second equation
y = 4 + 2, y = 6
Solution: x = 4, y = 6... or (4,6)
User Diaz
by
8.5k points
5 votes

Answer:

(4, 6)

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 - 10

y = x + 2

Step 2: Solve for x

Substitution

  1. Substitute in y: 4x - 10 = x + 2
  2. Subtract x on both sides: 3x - 10 = 2
  3. Add 10 on both sides: 3x = 12
  4. Divide 3 on both sides: x = 4

Step 3: Solve for y

  1. Define equation: y = x + 2
  2. Substitute in x: y = 4 + 2
  3. Add: y = 6

User PachinSV
by
8.1k points

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