Question

X/5 = 8/9 solve for x

Answer 1

`(x)/(5) = (8)/(9) \\ x = ((5 * 8))/(9) \\ \boxed{x = (40)/(9) }`

40/9 is the right answer.

Answer 2

`\displaystyle x = (40)/(9)`

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

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Explanation:

Step 1: Define

`\displaystyle (x)/(5) = (8)/(9)`

Step 2: Solve for x

1. Cross-multiply:
   `9x = 40`
2. Isolate x:
   `\displaystyle x = (40)/(9)`

Step 3: Check

Plug in x into the original equation to verify it's a solution.

1. Substitute in x:
   `\displaystyle ((40)/(9))/(5) = (8)/(9)`
2. Divide:
   `\displaystyle (8)/(9) = (8)/(9)`

Here we see that
`\displaystyle (8)/(9)` does equal
`\displaystyle (8)/(9)`.

∴
`\displaystyle x = (40)/(9)` is the solution to the equation.