Precalculus Examples

$v = 3 i - 4 j$

Step 1

Rewrite the equation as $3 i - 4 j = v$ .

$3 i - 4 j = v$

Step 2

Add $4 j$ to both sides of the equation.

$3 i = v + 4 j$

Step 3

Divide each term in $3 i = v + 4 j$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 i = v + 4 j$ by $3$ .

$\frac{3 i}{3} = \frac{v}{3} + \frac{4 j}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 i}{3} = \frac{v}{3} + \frac{4 j}{3}$

Step 3.2.1.2

Divide $i$ by $1$ .

$i = \frac{v}{3} + \frac{4 j}{3}$