Question

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

Answer 1

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)

Answer 2

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

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