Determine if Linear 4xy+2y=9

$4 x y + 2 y = 9$

Step 1

Solve the equation for $y$ .

Factor $2 y$ out of $4 x y + 2 y$ .

Factor $2 y$ out of $4 x y$ .

$2 y (2 x) + 2 y = 9$

Factor $2 y$ out of $2 y$ .

$2 y (2 x) + 2 y (1) = 9$

Factor $2 y$ out of $2 y (2 x) + 2 y (1)$ .

$2 y (2 x + 1) = 9$

Divide each term in $2 y (2 x + 1) = 9$ by $2 (2 x + 1)$ and simplify.

Divide each term in $2 y (2 x + 1) = 9$ by $2 (2 x + 1)$ .

$\frac{2 y (2 x + 1)}{2 (2 x + 1)} = \frac{9}{2 (2 x + 1)}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y (2 x + 1)}{2 (2 x + 1)} = \frac{9}{2 (2 x + 1)}$

Rewrite the expression.

$\frac{y (2 x + 1)}{2 x + 1} = \frac{9}{2 (2 x + 1)}$

Cancel the common factor of $2 x + 1$ .

Cancel the common factor.

$\frac{y (2 x + 1)}{2 x + 1} = \frac{9}{2 (2 x + 1)}$

Divide $y$ by $1$ .

$y = \frac{9}{2 (2 x + 1)}$

Step 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of variable $y$ is $1$ , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

Not Linear

Determine if Linear 4xy+2y=9

Related Questions

Support LCMGCF.com by disabling your adblocker.