Finite Math Examples

3 y - 2 x = 0

$3 y - 2 x = 0$ ,

y + 8 x = 52

$y + 8 x = 52$ ,

y - 2 x = 2

$y - 2 x = 2$ ,

x = 3

$x = 3$

Step 1

Replace all occurrences of

x

$x$ with

3

$3$ in each equation.

Tap for more steps...

Step 1.1

Replace all occurrences of

x

$x$ in

3 y - 2 x = 0

$3 y - 2 x = 0$ with

3

$3$ .

3 y - 2 \cdot 3 = 0

$3 y - 2 \cdot 3 = 0$

x = 3

$x = 3$

y + 8 x = 52

$y + 8 x = 52$

y - 2 x = 2

$y - 2 x = 2$

Step 1.2

Simplify the left side.

Tap for more steps...

Step 1.2.1

Multiply

- 2

$- 2$ by

3

$3$ .

3 y - 6 = 0

$3 y - 6 = 0$

x = 3

$x = 3$

y + 8 x = 52

$y + 8 x = 52$

y - 2 x = 2

$y - 2 x = 2$

3 y - 6 = 0

$3 y - 6 = 0$

x = 3

$x = 3$

y + 8 x = 52

$y + 8 x = 52$

y - 2 x = 2

$y - 2 x = 2$

Step 1.3

Replace all occurrences of

x

$x$ in

y + 8 x = 52

$y + 8 x = 52$ with

3

$3$ .

y + 8 (3) = 52

$y + 8 (3) = 52$

3 y - 6 = 0

$3 y - 6 = 0$

x = 3

$x = 3$

y - 2 x = 2

$y - 2 x = 2$

Step 1.4

Simplify the left side.

Tap for more steps...

Step 1.4.1

Multiply

8

$8$ by

3

$3$ .

y + 24 = 52

$y + 24 = 52$

3 y - 6 = 0

$3 y - 6 = 0$

x = 3

$x = 3$

y - 2 x = 2

$y - 2 x = 2$

y + 24 = 52

$y + 24 = 52$

3 y - 6 = 0

$3 y - 6 = 0$

x = 3

$x = 3$

y - 2 x = 2

$y - 2 x = 2$

Step 1.5

Replace all occurrences of

x

$x$ in

y - 2 x = 2

$y - 2 x = 2$ with

3

$3$ .

y - 2 \cdot 3 = 2

$y - 2 \cdot 3 = 2$

y + 24 = 52

$y + 24 = 52$

3 y - 6 = 0

$3 y - 6 = 0$

x = 3

$x = 3$

Step 1.6

Simplify the left side.

Tap for more steps...

Step 1.6.1

Multiply

- 2

$- 2$ by

3

$3$ .

y - 6 = 2

$y - 6 = 2$

y + 24 = 52

$y + 24 = 52$

3 y - 6 = 0

$3 y - 6 = 0$

x = 3

$x = 3$

y - 6 = 2

$y - 6 = 2$

y + 24 = 52

$y + 24 = 52$

3 y - 6 = 0

$3 y - 6 = 0$

x = 3

$x = 3$

y - 6 = 2

$y - 6 = 2$

y + 24 = 52

$y + 24 = 52$

3 y - 6 = 0

$3 y - 6 = 0$

x = 3

$x = 3$

Step 2

Move all terms not containing

y

$y$ to the right side of the equation.

Tap for more steps...

Step 2.1

Add

6

$6$ to both sides of the equation.

y = 2 + 6

$y = 2 + 6$

y + 24 = 52

$y + 24 = 52$

3 y - 6 = 0

$3 y - 6 = 0$

x = 3

$x = 3$

Step 2.2

Add

2

$2$ and

6

$6$ .

y = 8

$y = 8$

y + 24 = 52

$y + 24 = 52$

3 y - 6 = 0

$3 y - 6 = 0$

x = 3

$x = 3$

y = 8

$y = 8$

y + 24 = 52

$y + 24 = 52$

3 y - 6 = 0

$3 y - 6 = 0$

x = 3

$x = 3$

Step 3

Replace all occurrences of

y

$y$ with

8

$8$ in each equation.

Tap for more steps...

Step 3.1

Replace all occurrences of

y

$y$ in

y + 24 = 52

$y + 24 = 52$ with

8

$8$ .

(8) + 24 = 52

$(8) + 24 = 52$

y = 8

$y = 8$

3 y - 6 = 0

$3 y - 6 = 0$

x = 3

$x = 3$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Add

8

$8$ and

24

$24$ .

32 = 52

$32 = 52$

y = 8

$y = 8$

3 y - 6 = 0

$3 y - 6 = 0$

x = 3

$x = 3$

32 = 52

$32 = 52$

y = 8

$y = 8$

3 y - 6 = 0

$3 y - 6 = 0$

x = 3

$x = 3$

Step 3.3

Replace all occurrences of

y

$y$ in

3 y - 6 = 0

$3 y - 6 = 0$ with

8

$8$ .

3 (8) - 6 = 0

$3 (8) - 6 = 0$

32 = 52

$32 = 52$

y = 8

$y = 8$

x = 3

$x = 3$

Step 3.4

Simplify the left side.

Tap for more steps...

Step 3.4.1

Simplify

3 (8) - 6

$3 (8) - 6$ .

Tap for more steps...

Step 3.4.1.1

Multiply

3

$3$ by

8

$8$ .

24 - 6 = 0

$24 - 6 = 0$

32 = 52

$32 = 52$

y = 8

$y = 8$

x = 3

$x = 3$

Step 3.4.1.2

Subtract

6

$6$ from

24

$24$ .

18 = 0

$18 = 0$

32 = 52

$32 = 52$

y = 8

$y = 8$

x = 3

$x = 3$

18 = 0

$18 = 0$

32 = 52

$32 = 52$

y = 8

$y = 8$

x = 3

$x = 3$

18 = 0

$18 = 0$

32 = 52

$32 = 52$

y = 8

$y = 8$

x = 3

$x = 3$

18 = 0

$18 = 0$

32 = 52

$32 = 52$

y = 8

$y = 8$

x = 3

$x = 3$

Step 4

Since

18 = 0

$18 = 0$ is not true, there is no solution.

No solution

Step 5

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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