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Solve the equation using the multiplication property of equality Be sation\newline15=−(53)x15 = -\left(\frac{5}{3}\right)x\newlineThe solution set is \newline{□}\{\square\}

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Q. Solve the equation using the multiplication property of equality Be sation\newline15=−(53)x15 = -\left(\frac{5}{3}\right)x\newlineThe solution set is \newline{□}\{\square\}
  1. Identify equation: Identify the equation to solve.\newlineWe have the equation 15=−(53)x15 = -\left(\frac{5}{3}\right)x, and we need to find the value of xx.
  2. Apply property of equality: Apply the multiplication property of equality to isolate xx. To get xx by itself, we multiply both sides of the equation by the reciprocal of −(5/3)-(5/3), which is −3/5-3/5. (−3/5)×15=(−3/5)×(−(5/3)x)(-3/5) \times 15 = (-3/5) \times (-(5/3)x)
  3. Multiply left side: Perform the multiplication on the left side of the equation.\newline(−35)×15=−9(-\frac{3}{5}) \times 15 = -9
  4. Multiply right side: Perform the multiplication on the right side of the equation.\newline(−35)×(−(53)x)=x(-\frac{3}{5}) \times (-(\frac{5}{3})x) = x
  5. Write solution: Write down the solution.\newlineThe solution to the equation is x=−9x = -9.

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