Finite Math Examples

$4 + 3 i + 7 x = - 12 + 16 i + 19 y i$

Step 1

Move all terms not containing $x$ to the right side of the equation.

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Step 1.1

Subtract $4$ from both sides of the equation.

$3 i + 7 x = - 12 + 16 i + 19 y i - 4$

Step 1.2

Subtract $3 i$ from both sides of the equation.

$7 x = - 12 + 16 i + 19 y i - 4 - 3 i$

Step 1.3

Subtract $4$ from $- 12$ .

$7 x = - 16 + 16 i + 19 y i - 3 i$

Step 1.4

Subtract $3 i$ from $16 i$ .

$7 x = - 16 + 19 y i + 13 i$

Step 2

Divide each term in $7 x = - 16 + 19 y i + 13 i$ by $7$ and simplify.

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Step 2.1

Divide each term in $7 x = - 16 + 19 y i + 13 i$ by $7$ .

$\frac{7 x}{7} = \frac{- 16}{7} + \frac{19 y i}{7} + \frac{13 i}{7}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $7$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{7 x}{7} = \frac{- 16}{7} + \frac{19 y i}{7} + \frac{13 i}{7}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 16}{7} + \frac{19 y i}{7} + \frac{13 i}{7}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative in front of the fraction.

$x = - \frac{16}{7} + \frac{19 y i}{7} + \frac{13 i}{7}$