Here is one way to solve the equation (5)/(9)y^(2)=5. Explain what is done in each step.

Original Equation: Original equation: (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. (5/9)y^2 * 9 = 5 * 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. 5y^2 / 5 = 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. √y^2 = √9 y = 3 or y = -3 Taking the square root gives us the possible values of y.

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Solve one-step multiplication and division equations: word problems

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Q. Here is one way to solve the equation

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

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Explain what is done in each step.

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 $y$ .