Math / Algebra

QuestionSolve for $y$ . $\begin{array}{l} \frac{6}{11}=\frac{y}{3} \\ y= \end{array}$ $\square$

Studdy Solution

STEP 1

1. We have a proportion equation given by $\frac{6}{11} = \frac{y}{3}$ .
2. The variable $y$ can be isolated by cross-multiplying the terms of the equation.

STEP 2

1. Set up the equation by cross-multiplying to eliminate the fractions.
2. Solve the resulting equation for $y$ .
3. Simplify the solution to find the value of $y$ .

STEP 3

Set up the equation by cross-multiplying:
$6 \cdot 3 = 11 \cdot y$

STEP 4

Simplify the left-hand side of the equation:
$18 = 11y$

STEP 5

Solve for $y$ by dividing both sides of the equation by 11:
$y = \frac{18}{11}$

STEP 6

The solution to the equation is:
$y = \frac{18}{11}$
**

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QuestionSolve for $y$ . $\begin{array}{l} \frac{6}{11}=\frac{y}{3} \\ y= \end{array}$ $\square$

Studdy Solution

STEP 1

1. We have a proportion equation given by $\frac{6}{11} = \frac{y}{3}$ .
2. The variable $y$ can be isolated by cross-multiplying the terms of the equation.

STEP 2

1. Set up the equation by cross-multiplying to eliminate the fractions.
2. Solve the resulting equation for $y$ .
3. Simplify the solution to find the value of $y$ .

STEP 3

Set up the equation by cross-multiplying:
$6 \cdot 3 = 11 \cdot y$

STEP 4

Simplify the left-hand side of the equation:
$18 = 11y$

STEP 5

Solve for $y$ by dividing both sides of the equation by 11:
$y = \frac{18}{11}$

STEP 6

The solution to the equation is:
$y = \frac{18}{11}$
**

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QuestionSolve for yyy. 611=y3y=\begin{array}{l} \frac{6}{11}=\frac{y}{3} \\ y= \end{array}116​=3y​y=​ □\square□

Studdy Solution

STEP 1

1. We have a proportion equation given by 611=y3\frac{6}{11} = \frac{y}{3}116​=3y​.2. The variable yyy can be isolated by cross-multiplying the terms of the equation.

STEP 2

1. Set up the equation by cross-multiplying to eliminate the fractions.2. Solve the resulting equation for yyy.3. Simplify the solution to find the value of yyy.

STEP 3

Set up the equation by cross-multiplying:6⋅3=11⋅y 6 \cdot 3 = 11 \cdot y 6⋅3=11⋅y

STEP 4

Simplify the left-hand side of the equation:18=11y 18 = 11y 18=11y

STEP 5

Solve for yyy by dividing both sides of the equation by 11:y=1811 y = \frac{18}{11} y=1118​

STEP 6

The solution to the equation is:y=1811 y = \frac{18}{11} y=1118​**

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QuestionSolve for $y$ . $\begin{array}{l} \frac{6}{11}=\frac{y}{3} \\ y= \end{array}$ $\square$

1. We have a proportion equation given by $\frac{6}{11} = \frac{y}{3}$ .
2. The variable $y$ can be isolated by cross-multiplying the terms of the equation.

1. Set up the equation by cross-multiplying to eliminate the fractions.
2. Solve the resulting equation for $y$ .
3. Simplify the solution to find the value of $y$ .

Set up the equation by cross-multiplying:
$6 \cdot 3 = 11 \cdot y$

Simplify the left-hand side of the equation:
$18 = 11y$

Solve for $y$ by dividing both sides of the equation by 11:
$y = \frac{18}{11}$

The solution to the equation is:
$y = \frac{18}{11}$
**