Solve for j 1/2j+1/4k=3

$\frac{1}{2} j + \frac{1}{4} k = 3$

Step 1

Simplify each term.

Combine $\frac{1}{2}$ and $j$ .

$\frac{j}{2} + \frac{1}{4} k = 3$

Combine $\frac{1}{4}$ and $k$ .

$\frac{j}{2} + \frac{k}{4} = 3$

Step 2

Subtract $\frac{k}{4}$ from both sides of the equation.

$\frac{j}{2} = 3 - \frac{k}{4}$

Step 3

Multiply both sides of the equation by $2$ .

$2 \frac{j}{2} = 2 (3 - \frac{k}{4})$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{j}{2} = 2 (3 - \frac{k}{4})$

Rewrite the expression.

$j = 2 (3 - \frac{k}{4})$

Simplify the right side.

Simplify $2 (3 - \frac{k}{4})$ .

Apply the distributive property.

$j = 2 \cdot 3 + 2 (- \frac{k}{4})$

Multiply $2$ by $3$ .

$j = 6 + 2 (- \frac{k}{4})$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{k}{4}$ into the numerator.

$j = 6 + 2 \frac{- k}{4}$

Factor $2$ out of $4$ .

$j = 6 + 2 \frac{- k}{2 (2)}$

Cancel the common factor.

$j = 6 + 2 \frac{- k}{2 \cdot 2}$

Rewrite the expression.

$j = 6 + \frac{- k}{2}$

Move the negative in front of the fraction.

$j = 6 - \frac{k}{2}$

Step 5

Reorder $6$ and $- \frac{k}{2}$ .

$j = - \frac{k}{2} + 6$