Finite Math Examples

$x - y = - 10$ ,

$3 x + 2 y = 30$ ,

$x = 0$ ,

$y = 0$

Step 1

Replace all occurrences of

$x$ with

$0$ in each equation.

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Step 1.1

Replace all occurrences of

$x$ in

$x - y = - 10$ with

$0$ .

$(0) - y = - 10$

$x = 0$

$3 x + 2 y = 30$

$y = 0$

Step 1.2

Simplify the left side.

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Step 1.2.1

Subtract

$y$ from

$0$ .

$- y = - 10$

$x = 0$

$3 x + 2 y = 30$

$y = 0$

$- y = - 10$

$x = 0$

$3 x + 2 y = 30$

$y = 0$

Step 1.3

Replace all occurrences of

$x$ in

$3 x + 2 y = 30$ with

$0$ .

$3 (0) + 2 y = 30$

$- y = - 10$

$x = 0$

$y = 0$

Step 1.4

Simplify the left side.

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Step 1.4.1

Simplify

$3 (0) + 2 y$ .

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Step 1.4.1.1

Multiply

$3$ by

$0$ .

$0 + 2 y = 30$

$- y = - 10$

$x = 0$

$y = 0$

Step 1.4.1.2

Add

$0$ and

$2 y$ .

$2 y = 30$

$- y = - 10$

$x = 0$

$y = 0$

$2 y = 30$

$- y = - 10$

$x = 0$

$y = 0$

$2 y = 30$

$- y = - 10$

$x = 0$

$y = 0$

$2 y = 30$

$- y = - 10$

$x = 0$

$y = 0$

Step 2

Replace all occurrences of

$y$ with

$0$ in each equation.

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Step 2.1

Replace all occurrences of

$y$ in

$2 y = 30$ with

$0$ .

$2 (0) = 30$

$- y = - 10$

$x = 0$

$y = 0$

Step 2.2

Simplify the left side.

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Step 2.2.1

Multiply

$2$ by

$0$ .

$0 = 30$

$- y = - 10$

$x = 0$

$y = 0$

$0 = 30$

$- y = - 10$

$x = 0$

$y = 0$

Step 2.3

Replace all occurrences of

$y$ in

$- y = - 10$ with

$0$ .

$- (0) = - 10$

$0 = 30$

$x = 0$

$y = 0$

Step 2.4

Simplify the left side.

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Step 2.4.1

Multiply

$- 1$ by

$0$ .

$0 = - 10$

$0 = 30$

$x = 0$

$y = 0$

$0 = - 10$

$0 = 30$

$x = 0$

$y = 0$

$0 = - 10$

$0 = 30$

$x = 0$

$y = 0$

Step 3

Since

$0 = - 10$ is not true, there is no solution.

No solution

Step 4

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