Finite Math Examples

$2 b z = 5 a z + 3$

Step 1

Subtract $5 a z$ from both sides of the equation.

$2 b z - 5 a z = 3$

Step 2

Factor $z$ out of $2 b z - 5 a z$ .

Tap for more steps...

Step 2.1

Factor $z$ out of $2 b z$ .

$z (2 b) - 5 a z = 3$

Step 2.2

Factor $z$ out of $- 5 a z$ .

$z (2 b) + z (- 5 a) = 3$

Step 2.3

Factor $z$ out of $z (2 b) + z (- 5 a)$ .

$z (2 b - 5 a) = 3$

Step 3

Divide each term in $z (2 b - 5 a) = 3$ by $2 b - 5 a$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $z (2 b - 5 a) = 3$ by $2 b - 5 a$ .

$\frac{z (2 b - 5 a)}{2 b - 5 a} = \frac{3}{2 b - 5 a}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $2 b - 5 a$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{z (2 b - 5 a)}{2 b - 5 a} = \frac{3}{2 b - 5 a}$

Step 3.2.1.2

Divide $z$ by $1$ .

$z = \frac{3}{2 b - 5 a}$