Solve the proportion 4/(x+1) = 3/(x+2)

Asked 11 months ago
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Solve the proportion 4/(x+1) = 3/(x+2)

2 Answer

2

Answer:

x = -5

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

Step-by-step explanation:

Step 1: Define

4/(x + 1) = 3/(x + 2)

Step 2: Solve for x

  1. Cross multiply:                         4(x + 2) = 3(x + 1)
  2. Distribute:                                 4x + 8 = 3x + 3
  3. Subtract 3x on both sides:      x + 8 = 3
  4. Subtract 8 on both sides:        x = -5
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Della Bernier
15.5k 3 10 26
answered 11 months ago
2

Answer:

to solve a proportion, you cross multiply. so you take the numerator of the first one, and multiply it by the denominator of the second one. and then the denominator of the first one is multiplied by the numerator of the second one:

4(x+2)=3(x+1) (set them = and then use the distributive property)

4x+8 = 3x+3 (subtract 3x from both sides)

x +8 = 3 (subtract 8 from both sides)

x= -5  (the answer)

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Willow Kris
15.5k 3 10 26
answered 11 months ago