ring $\newline$ Scan for $\newline$ Multimedia $\newline$ Property to solve the equations. $\newline$ $8$ . $\newline$ $3.2=\frac{4}{5}(b-5)$ $\newline$ $\frac{4}{5}6-53.2=\left(\frac{4}{5}\right)b+\left(\frac{4}{5}\right)\cdot$ $\newline$ $7.2-4$ $\newline$ $3.2=1.2-4$ $\newline$ $3.2+ \frac{5}{4} =7.2$ $\newline$ $=$ $\newline$ $9=b$

Full solution

Q. ring

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Scan for

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Multimedia

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Property to solve the equations.

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8

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3.2=\frac{4}{5}(b-5)

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\frac{4}{5}6-53.2=\left(\frac{4}{5}\right)b+\left(\frac{4}{5}\right)\cdot

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7.2-4

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3.2=1.2-4

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3.2+ \frac{5}{4} =7.2

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=

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9=b

Identify equation and isolate term: Identify the given equation and isolate the term containing the variable $b$ . The given equation is $3.2 = \left(\frac{4}{5}\right)(b - 5)$ . To isolate the term $\left(\frac{4}{5}\right)(b - 5)$ , we can start by multiplying both sides of the equation by $\left(\frac{5}{4}\right)$ to cancel out the fraction on the right side.
Multiply by (\frac{$5$}{$4$}): Multiply both sides of the equation by $(\frac{\(5$}{$4$}).$\newline(\frac{\(5$}{$4$}) \times \(3. $2$ = (\frac{ $5$ }{ $4$ }) \times (\frac{ $4$ }{ $5$ })(b - $5$ ) $\newline$ This simplifies to: $\newline$ \(4 \times $0$ . $8$ = b - $5$
Calculate left side: Calculate the left side of the equation. $\newline$ $4 \times 0.8 = 3.2$ $\newline$ So we have: $\newline$ $3.2 = b - 5$
Add $5$ to solve: Add $5$ to both sides of the equation to solve for $b$ . $3.2 + 5 = b - 5 + 5$ This simplifies to: $8.2 = b$
Check solution: Check the solution by substituting $b$ back into the original equation. $3.2 = \left(\frac{4}{5}\right)(8.2 - 5)$ $3.2 = \left(\frac{4}{5}\right)(3.2)$ $3.2 = 3.2$ Since both sides of the equation are equal, the solution is correct.