Pre-Algebra Examples

$4.2 x - 1.4 y = 2.1$

Step 1

Add $1.4 y$ to both sides of the equation.

$4.2 x = 2.1 + 1.4 y$

Step 2

Divide each term in $4.2 x = 2.1 + 1.4 y$ by $4.2$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $4.2 x = 2.1 + 1.4 y$ by $4.2$ .

$\frac{4.2 x}{4.2} = \frac{2.1}{4.2} + \frac{1.4 y}{4.2}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $4.2$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{4.2 x}{4.2} = \frac{2.1}{4.2} + \frac{1.4 y}{4.2}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{2.1}{4.2} + \frac{1.4 y}{4.2}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Simplify each term.

Tap for more steps...

Step 2.3.1.1

Divide $2.1$ by $4.2$ .

$x = 0.5 + \frac{1.4 y}{4.2}$

Step 2.3.1.2

Factor $1.4$ out of $1.4 y$ .

$x = 0.5 + \frac{1.4 (y)}{4.2}$

Step 2.3.1.3

Factor $4.2$ out of $4.2$ .

$x = 0.5 + \frac{1.4 (y)}{4.2 (1)}$

Step 2.3.1.4

Separate fractions.

$x = 0.5 + \frac{1.4}{4.2} \cdot \frac{y}{1}$

Step 2.3.1.5

Divide $1.4$ by $4.2$ .

$x = 0.5 + 0.\overline{3} \frac{y}{1}$

Step 2.3.1.6

Divide $y$ by $1$ .

$x = 0.5 + 0.\overline{3} y$