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$Here is one way to solve the equation (5)/(9)y^(2)=5. Explain what is done in each step. {:[(5)/(9)y^(2)=5," Original equation "],[5y^(2)=45," Step 1 "],[y^(2)=9," Step "2],[y=3" or "y=-3," Step "3]:} Original equation Step 1 Step 2 Step 3$

Here is one way to solve the equation $\newline$ $\frac{5}{9}y^{2}=5$ . Explain what is done in each step. $\newline$ \begin{array}{ll}$\newline\frac{5}{9}y^{2}=5 & \text{ Original equation } (\newline$5y^{2}=45 & \text{ Step 1 } (\newline\)y^{2}=9 & \text{ Step 2 } (\newline\)y=3 \text{ or } y=-3 & \text{ Step 3 } $\newline$ \end{array}\) $\newline$ Original equation $\newline$ Step $1$ $\newline$ Step $2$ $\newline$ Step $3$

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Math Problems

Grade 6

Solve one-step multiplication and division equations: word problems

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Q. Here is one way to solve the equation

\newline

\frac{5}{9}y^{2}=5

. Explain what is done in each step.

\newline

\begin{array}{ll}$\newline\frac{5}{9}y^{2}=5 & \text{ Original equation } (\newline$5y^{2}=45 & \text{ Step 1 } (\newline\)y^{2}=9 & \text{ Step 2 } (\newline\)y=3 \text{ or } y=-3 & \text{ Step 3 }

\newline

\end{array}\)

\newline

Original equation

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Step

1

\newline

Step

2

\newline

Step

3

Original Equation: Original equation: $(\frac{5}{9})y^2 = 5$ . We start with the given equation.
Multiply by $9$ : Step $1$ : Multiply both sides by $9$ to eliminate the fraction. $(\frac{5}{9})y^2 \times 9 = 5 \times 9$ $5y^2 = 45$ This step clears the fraction by multiplying both sides by $9$ .
Divide by $5$ : Step $2$ : Divide both sides by $5$ to solve for $y^2$ . $\frac{5y^2}{5} = \frac{45}{5}$ $y^2 = 9$ We divide by $5$ to isolate $y^2$ .
Take Square Root: Step $3$ : Take the square root of both sides to solve for $y$ . $\sqrt{y^2} = \sqrt{9}$ $y = 3$ or $y = -3$ Taking the square root gives us the possible values of $y$ .