Algebra Examples

$y = - \frac{5}{2} x (- 7) - \frac{27}{2}$

Step 1

Solve the equation for $y$ .

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Step 1.1

Remove parentheses.

$y = - \frac{5}{2} x \cdot - 7 - \frac{27}{2}$

Step 1.2

Remove parentheses.

$y = - \frac{5}{2} \cdot (x (- 7)) - \frac{27}{2}$

Step 1.3

Simplify each term.

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Step 1.3.1

Move $- 7$ to the left of $x$ .

$y = - \frac{5}{2} \cdot (- 7 x) - \frac{27}{2}$

Step 1.3.2

Multiply $- \frac{5}{2} (- 7 x)$ .

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Step 1.3.2.1

Multiply $- 7$ by $- 1$ .

$y = 7 (\frac{5}{2}) x - \frac{27}{2}$

Step 1.3.2.2

Combine $7$ and $\frac{5}{2}$ .

$y = \frac{7 \cdot 5}{2} x - \frac{27}{2}$

Step 1.3.2.3

Multiply $7$ by $5$ .

$y = \frac{35}{2} x - \frac{27}{2}$

Step 1.3.2.4

Combine $\frac{35}{2}$ and $x$ .

$y = \frac{35 x}{2} - \frac{27}{2}$

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