Question Solve for y when $\frac{1}{2} y = 25$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $\frac{1}{2} y = 25$ .
2. We need to solve for the variable $y$ .

STEP 2

To solve for $y$ , we need to isolate $y$ on one side of the equation. We can do this by multiplying both sides of the equation by 2, which is the reciprocal of $\frac{1}{2}$ .

STEP 3

Multiply both sides of the equation by 2.
$2 \times \frac{1}{2} y = 2 \times 25$

STEP 4

The multiplication on the left side simplifies because $2 \times \frac{1}{2} = 1$ . Therefore, we are left with $y$ on the left side of the equation.
$y = 2 \times 25$

STEP 5

Now, perform the multiplication on the right side of the equation.
$y = 50$
The solution to the equation $\frac{1}{2} y = 25$ is $y = 50$ .

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Question Solve for y when $\frac{1}{2} y = 25$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $\frac{1}{2} y = 25$ .
2. We need to solve for the variable $y$ .

STEP 2

To solve for $y$ , we need to isolate $y$ on one side of the equation. We can do this by multiplying both sides of the equation by 2, which is the reciprocal of $\frac{1}{2}$ .

STEP 3

Multiply both sides of the equation by 2.
$2 \times \frac{1}{2} y = 2 \times 25$

STEP 4

The multiplication on the left side simplifies because $2 \times \frac{1}{2} = 1$ . Therefore, we are left with $y$ on the left side of the equation.
$y = 2 \times 25$

STEP 5

Now, perform the multiplication on the right side of the equation.
$y = 50$
The solution to the equation $\frac{1}{2} y = 25$ is $y = 50$ .

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Question Solve for y when 12y=25\frac{1}{2} y = 2521​y=25.

Studdy Solution

STEP 1

Assumptions1. We are given the equation 12y=25\frac{1}{2} y = 2521​y=25.2. We need to solve for the variable yyy.

STEP 2

To solve for yyy, we need to isolate yyy on one side of the equation. We can do this by multiplying both sides of the equation by 2, which is the reciprocal of 12\frac{1}{2}21​.

STEP 3

Multiply both sides of the equation by 2.2×12y=2×252 \times \frac{1}{2} y = 2 \times 252×21​y=2×25

STEP 4

The multiplication on the left side simplifies because 2×12=12 \times \frac{1}{2} = 12×21​=1. Therefore, we are left with yyy on the left side of the equation.y=2×25y = 2 \times 25y=2×25

STEP 5

Now, perform the multiplication on the right side of the equation.y=50y = 50y=50The solution to the equation 12y=25\frac{1}{2} y = 2521​y=25 is y=50y = 50y=50.

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Question Solve for y when $\frac{1}{2} y = 25$ .

Assumptions
1. We are given the equation $\frac{1}{2} y = 25$ .
2. We need to solve for the variable $y$ .

To solve for $y$ , we need to isolate $y$ on one side of the equation. We can do this by multiplying both sides of the equation by 2, which is the reciprocal of $\frac{1}{2}$ .

Multiply both sides of the equation by 2.
$2 \times \frac{1}{2} y = 2 \times 25$

The multiplication on the left side simplifies because $2 \times \frac{1}{2} = 1$ . Therefore, we are left with $y$ on the left side of the equation.
$y = 2 \times 25$

Now, perform the multiplication on the right side of the equation.
$y = 50$
The solution to the equation $\frac{1}{2} y = 25$ is $y = 50$ .