Solve for $s$ and simplify your answer. $\newline$ $4=-\frac{6}{5} s$ $\newline$ Answer:

Full solution

Q. Solve for

s

and simplify your answer.

\newline

4=-\frac{6}{5} s

\newline

Answer:

Understand the equation: Understand the equation. $\newline$ The equation given is $4 = -\left(\frac{6}{5}\right)s$ , which means we need to solve for the variable $s$ .
Isolate the variable $s$ : Isolate the variable $s$ . To isolate $s$ , we need to get rid of the fraction and the negative sign. We can do this by multiplying both sides of the equation by $-\frac{5}{6}$ . \left(-\frac{$5$}{$6$}\right) \times \(4 = \left(-\frac{ $5$ }{ $6$ }\right) \times \left(-\frac{ $6$ }{ $5$ }s\right)
Perform left side multiplication: Perform the multiplication on the left side of the equation. $\newline$ $(-\frac{5}{6}) \times 4 = -\frac{20}{6}$
Simplify the left side: Simplify the left side of the equation. $\newline$ $-\frac{20}{6}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $-\frac{20}{6} = -\frac{10}{3}$
Perform right side multiplication: Perform the multiplication on the right side of the equation. $\newline$ $(-\frac{5}{6}) \times (-(\frac{6}{5})s) = s$ $\newline$ The negative signs cancel each other out, and the fractions $(\frac{5}{6})$ and $(\frac{6}{5})$ are reciprocal, so they multiply to $1$ .
Write simplified equation: Write down the simplified equation. $\newline$ $-\frac{10}{3} = s$