Finite Math Examples

$y = 4 x - 3$ , $12 x - 9 = 3 y$

Step 1

Replace all occurrences of $y$ with $4 x - 3$ in each equation.

Tap for more steps...

Step 1.1

Replace all occurrences of $y$ in $12 x - 9 = 3 y$ with $4 x - 3$ .

$12 x - 9 = 3 (4 x - 3)$

$y = 4 x - 3$

Step 1.2

Simplify the right side.

Tap for more steps...

Step 1.2.1

Simplify $3 (4 x - 3)$ .

Tap for more steps...

Step 1.2.1.1

Apply the distributive property.

$12 x - 9 = 3 (4 x) + 3 \cdot - 3$

$y = 4 x - 3$

Step 1.2.1.2

Multiply.

Tap for more steps...

Step 1.2.1.2.1

Multiply $4$ by $3$ .

$12 x - 9 = 12 x + 3 \cdot - 3$

$y = 4 x - 3$

Step 1.2.1.2.2

Multiply $3$ by $- 3$ .

$12 x - 9 = 12 x - 9$

$y = 4 x - 3$

$12 x - 9 = 12 x - 9$

$y = 4 x - 3$

$12 x - 9 = 12 x - 9$

$y = 4 x - 3$

$12 x - 9 = 12 x - 9$

$y = 4 x - 3$

$12 x - 9 = 12 x - 9$

$y = 4 x - 3$

Step 2

Remove any equations from the system that are always true.

$y = 4 x - 3$

Step 3