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Let’s check out your problem:

Solve for x. {:[(x)/(5)=(8)/(9)],[x=]:}

Solve for x x .\newlinex5=89x=□ \begin{array}{l} \frac{x}{5}=\frac{8}{9} \\ x=\square \end{array}

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Full solution

Q. Solve for x x .\newlinex5=89x=□ \begin{array}{l} \frac{x}{5}=\frac{8}{9} \\ x=\square \end{array}
  1. Identify Equation: Identify the equation to solve.\newlineWe have the equation x5=89\frac{x}{5} = \frac{8}{9} and we need to find the value of xx.
  2. Cross-Multiply: Cross-multiply to solve for xx. To solve for xx, we can cross-multiply the fractions. This means we multiply the numerator of one fraction by the denominator of the other fraction and set them equal to each other. x×9=5×8x \times 9 = 5 \times 8
  3. Perform Multiplication: Perform the multiplication.\newlineNow we multiply the numbers to find the value of xx.\newlinex×9=40x \times 9 = 40
  4. Divide to Isolate x: Divide both sides by 99 to isolate xx. To get xx by itself, we divide both sides of the equation by 99. x×99=409\frac{x \times 9}{9} = \frac{40}{9}
  5. Simplify to Find x: Simplify the equation to find the value of xx.x=409x = \frac{40}{9}

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