Finite Math Examples

- x + 2 y = 2

$- x + 2 y = 2$ ,

x + y = 2

$x + y = 2$ ,

y = 0

$y = 0$

Step 1

Replace all occurrences of

y

$y$ with

0

$0$ in each equation.

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Step 1.1

Replace all occurrences of

y

$y$ in

- x + 2 y = 2

$- x + 2 y = 2$ with

0

$0$ .

- x + 2 (0) = 2

$- x + 2 (0) = 2$

y = 0

$y = 0$

x + y = 2

$x + y = 2$

Step 1.2

Simplify the left side.

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Step 1.2.1

Simplify

- x + 2 (0)

$- x + 2 (0)$ .

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Step 1.2.1.1

Multiply

2

$2$ by

0

$0$ .

- x + 0 = 2

$- x + 0 = 2$

y = 0

$y = 0$

x + y = 2

$x + y = 2$

Step 1.2.1.2

Add

- x

$- x$ and

0

$0$ .

- x = 2

$- x = 2$

y = 0

$y = 0$

x + y = 2

$x + y = 2$

- x = 2

$- x = 2$

y = 0

$y = 0$

x + y = 2

$x + y = 2$

- x = 2

$- x = 2$

y = 0

$y = 0$

x + y = 2

$x + y = 2$

Step 1.3

Replace all occurrences of

y

$y$ in

x + y = 2

$x + y = 2$ with

0

$0$ .

x + 0 = 2

$x + 0 = 2$

- x = 2

$- x = 2$

y = 0

$y = 0$

Step 1.4

Simplify the left side.

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Step 1.4.1

Simplify

x + 0

$x + 0$ .

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Step 1.4.1.1

Remove parentheses.

x + 0 = 2

$x + 0 = 2$

- x = 2

$- x = 2$

y = 0

$y = 0$

Step 1.4.1.2

Add

x

$x$ and

0

$0$ .

x = 2

$x = 2$

- x = 2

$- x = 2$

y = 0

$y = 0$

x = 2

$x = 2$

- x = 2

$- x = 2$

y = 0

$y = 0$

x = 2

$x = 2$

- x = 2

$- x = 2$

y = 0

$y = 0$

x = 2

$x = 2$

- x = 2

$- x = 2$

y = 0

$y = 0$

Step 2

Replace all occurrences of

x

$x$ with

2

$2$ in each equation.

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Step 2.1

Replace all occurrences of

x

$x$ in

- x = 2

$- x = 2$ with

2

$2$ .

- (2) = 2

$- (2) = 2$

x = 2

$x = 2$

y = 0

$y = 0$

Step 2.2

Simplify the left side.

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Step 2.2.1

Multiply

- 1

$- 1$ by

2

$2$ .

- 2 = 2

$- 2 = 2$

x = 2

$x = 2$

y = 0

$y = 0$

- 2 = 2

$- 2 = 2$

x = 2

$x = 2$

y = 0

$y = 0$

- 2 = 2

$- 2 = 2$

x = 2

$x = 2$

y = 0

$y = 0$

Step 3

Since

- 2 = 2

$- 2 = 2$ is not true, there is no solution.

No solution

Step 4

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

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