Pre-Algebra Examples

y = \frac{2}{3} x - 4

$y = \frac{2}{3} x - 4$

Step 1

The standard form of a linear equation is

A x + B y = C

$A x + B y = C$ .

Step 2

Multiply both sides by

3

$3$ .

3 y = 3 (\frac{2}{3} x - 4)

$3 y = 3 (\frac{2}{3} x - 4)$

Step 3

Simplify the right side.

Tap for more steps...

Step 3.1

Simplify

3 (\frac{2}{3} x - 4)

$3 (\frac{2}{3} x - 4)$ .

Tap for more steps...

Step 3.1.1

Combine

\frac{2}{3}

$\frac{2}{3}$ and

x

$x$ .

3 y = 3 (\frac{2 x}{3} - 4)

$3 y = 3 (\frac{2 x}{3} - 4)$

Step 3.1.2

Apply the distributive property.

3 y = 3 \frac{2 x}{3} + 3 \cdot - 4

$3 y = 3 \frac{2 x}{3} + 3 \cdot - 4$

Step 3.1.3

Cancel the common factor of

3

$3$ .

Tap for more steps...

Step 3.1.3.1

Cancel the common factor.

3 y = 3 \frac{2 x}{3} + 3 \cdot - 4

$3 y = 3 \frac{2 x}{3} + 3 \cdot - 4$

Step 3.1.3.2

Rewrite the expression.

3 y = 2 x + 3 \cdot - 4

$3 y = 2 x + 3 \cdot - 4$

3 y = 2 x + 3 \cdot - 4

$3 y = 2 x + 3 \cdot - 4$

Step 3.1.4

Multiply

3

$3$ by

- 4

$- 4$ .

3 y = 2 x - 12

$3 y = 2 x - 12$

3 y = 2 x - 12

$3 y = 2 x - 12$

3 y = 2 x - 12

$3 y = 2 x - 12$

Step 4

Rewrite the equation.

2 x - 12 = 3 y

$2 x - 12 = 3 y$

Step 5

Move all terms containing variables to the left side of the equation.

Tap for more steps...

Step 5.1

Subtract

3 y

$3 y$ from both sides of the equation.

2 x - 12 - 3 y = 0

$2 x - 12 - 3 y = 0$

Step 5.2

Move

- 12

$- 12$ .

2 x - 3 y - 12 = 0

$2 x - 3 y - 12 = 0$

2 x - 3 y - 12 = 0

$2 x - 3 y - 12 = 0$

Step 6

Add

12

$12$ to both sides of the equation.

2 x - 3 y = 12

$2 x - 3 y = 12$

Step 7

y = \frac{2}{3} x - 4

$y = \frac{2}{3} x - 4$

(

(

)

)

|

|

[

[

]

]

√

√





≥

≥













π

π





7

7

8

8

9

9













≤

≤





















4

4

5

5

6

6

/

/

^

^

×

×

>

>













!

!





1

1

2

2

3

3

-

-

+

+

÷

÷

<

<



















,

,

0

0

.

.

%

%



=

=









[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$