Algebra Examples

$- 4 + 7 x + 4 = 3 y$

Step 1

Rewrite the equation as $3 y = - 4 + 7 x + 4$ .

$3 y = - 4 + 7 x + 4$

Step 2

Simplify.

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Step 2.1

Add $- 4$ and $4$ .

$3 y = 7 x + 0$

Step 2.2

Add $7 x$ and $0$ .

$3 y = 7 x$

Step 3

Divide each term in $3 y = 7 x$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 y = 7 x$ by $3$ .

$\frac{3 y}{3} = \frac{7 x}{3}$

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.

$\frac{3 y}{3} = \frac{7 x}{3}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{7 x}{3}$

Step 4

Since the equation can be written in the form $y = k x$ , $y$ varies directly with $x$ and $k$ . The constant of variation, $k$ , is $\frac{7}{3}$ .

$\frac{7}{3}$