Finite Math Examples

$y = 2 - x$ , $3 x + 3 y = 6$

Step 1

Reorder $2$ and $- x$ .

$y = - x + 2$

$3 x + 3 y = 6$

Step 2

Replace all occurrences of $y$ with $- x + 2$ in each equation.

Tap for more steps...

Step 2.1

Replace all occurrences of $y$ in $3 x + 3 y = 6$ with $- x + 2$ .

$3 x + 3 (- x + 2) = 6$

$y = - x + 2$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Simplify $3 x + 3 (- x + 2)$ .

Tap for more steps...

Step 2.2.1.1

Simplify each term.

Tap for more steps...

Step 2.2.1.1.1

Apply the distributive property.

$3 x + 3 (- x) + 3 \cdot 2 = 6$

$y = - x + 2$

Step 2.2.1.1.2

Multiply $- 1$ by $3$ .

$3 x - 3 x + 3 \cdot 2 = 6$

$y = - x + 2$

Step 2.2.1.1.3

Multiply $3$ by $2$ .

$3 x - 3 x + 6 = 6$

$y = - x + 2$

$3 x - 3 x + 6 = 6$

$y = - x + 2$

Step 2.2.1.2

Simplify by adding terms.

Tap for more steps...

Step 2.2.1.2.1

Subtract $3 x$ from $3 x$ .

$0 + 6 = 6$

$y = - x + 2$

Step 2.2.1.2.2

Add $0$ and $6$ .

$6 = 6$

$y = - x + 2$

$6 = 6$

$y = - x + 2$

$6 = 6$

$y = - x + 2$

$6 = 6$

$y = - x + 2$

$6 = 6$

$y = - x + 2$

Step 3

Remove any equations from the system that are always true.

$y = - x + 2$

Step 4