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Solve the equation using the multiplication property of equality. Be sure to check your solution.
15=-(5)/(3)x
The solution set is ◻.

Solve the equation using the multiplication property of equality. Be sure to check your solution. $\newline$ $15=-\frac{5}{3} x$ $\newline$ The solution set is $\square$ .

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Roots of rational numbers

Full solution

Q. Solve the equation using the multiplication property of equality. Be sure to check your solution.

\newline

15=-\frac{5}{3} x

\newline

The solution set is

\square

.

Identify Equation & Goal: Identify the equation and the goal. $\newline$ We have the equation $15 = -(\frac{5}{3})x$ , and we want to solve for $x$ using the multiplication property of equality.
Isolate Variable $x$ : Isolate the variable $x$ by multiplying both sides of the equation by the reciprocal of $-\frac{5}{3}$ . $\newline$ The reciprocal of $-\frac{5}{3}$ is $-\frac{3}{5}$ . Multiply both sides of the equation by $-\frac{3}{5}$ to isolate $x$ . $\newline$ $\left(-\frac{3}{5}\right) \times 15 = x \times \left(-\frac{3}{5}\right) \times \left(-\frac{5}{3}\right)$
Multiply Left Side: Perform the multiplication on the left side of the equation. $\newline$ $(-\frac{3}{5}) \times 15 = -3 \times 3 = -9$
Simplify Right Side: Simplify the right side of the equation. $\newline$ $x \times (-\frac{3}{5}) \times -(\frac{5}{3}) = x \times 1 = x$
Write Solution: Write down the solution. $\newline$ The solution set is $\{x = -9\}$ .

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