Determine if Linear 8x+25y=5

$8 x + 25 y = 5$

Step 1

Solve the equation for $y$ .

Subtract $8 x$ from both sides of the equation.

$25 y = 5 - 8 x$

Divide each term in $25 y = 5 - 8 x$ by $25$ and simplify.

Divide each term in $25 y = 5 - 8 x$ by $25$ .

$\frac{25 y}{25} = \frac{5}{25} + \frac{- 8 x}{25}$

Simplify the left side.

Cancel the common factor of $25$ .

Cancel the common factor.

$\frac{25 y}{25} = \frac{5}{25} + \frac{- 8 x}{25}$

Divide $y$ by $1$ .

$y = \frac{5}{25} + \frac{- 8 x}{25}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $5$ and $25$ .

Factor $5$ out of $5$ .

$y = \frac{5 (1)}{25} + \frac{- 8 x}{25}$

Cancel the common factors.

Factor $5$ out of $25$ .

$y = \frac{5 \cdot 1}{5 \cdot 5} + \frac{- 8 x}{25}$

Cancel the common factor.

$y = \frac{5 \cdot 1}{5 \cdot 5} + \frac{- 8 x}{25}$

Rewrite the expression.

$y = \frac{1}{5} + \frac{- 8 x}{25}$

Move the negative in front of the fraction.

$y = \frac{1}{5} - \frac{8 x}{25}$

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 $1$ and the degree of variable $x$ is $1$ .

Linear

Determine if Linear 8x+25y=5

Related Questions

Support LCMGCF.com by disabling your adblocker.