Finite Math Examples

$25 x = 2000$ , $37 y = 2000$ , $x = 0$ , $y = 0$

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 $25 x = 2000$ with $0$ .

$25 (0) = 2000$

$x = 0$

$37 y = 2000$

$y = 0$

Step 1.2

Simplify the left side.

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Step 1.2.1

Multiply $25$ by $0$ .

$0 = 2000$

$x = 0$

$37 y = 2000$

$y = 0$

$0 = 2000$

$x = 0$

$37 y = 2000$

$y = 0$

Step 1.3

Divide each term in $37 y = 2000$ by $37$ and simplify.

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Step 1.3.1

Divide each term in $37 y = 2000$ by $37$ .

$\frac{37 y}{37} = \frac{2000}{37}$

$0 = 2000$

$x = 0$

$y = 0$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $37$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{37 y}{37} = \frac{2000}{37}$

$0 = 2000$

$x = 0$

$y = 0$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{2000}{37}$

$0 = 2000$

$x = 0$

$y = 0$

$y = \frac{2000}{37}$

$0 = 2000$

$x = 0$

$y = 0$

$y = \frac{2000}{37}$

$0 = 2000$

$x = 0$

$y = 0$

$y = \frac{2000}{37}$

$0 = 2000$

$x = 0$

$y = 0$

$y = \frac{2000}{37}$

$0 = 2000$

$x = 0$

$y = 0$

Step 2

Since $0 = 2000$ is not true, there is no solution.

No solution

Step 3