Finite Math Examples

$0.5 x + y = 20000000$ , $x = 5000000$ , $y = 10000000$ , $x + y = 25000000$

Step 1

Replace all occurrences of $x$ with $5000000$ in each equation.

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Step 1.1

Replace all occurrences of $x$ in $0.5 x + y = 20000000$ with $5000000$ .

$0.5 (5000000) + y = 20000000$

$x = 5000000$

$y = 10000000$

$x + y = 25000000$

Step 1.2

Simplify the left side.

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Step 1.2.1

Multiply $0.5$ by $5000000$ .

$2500000 + y = 20000000$

$x = 5000000$

$y = 10000000$

$x + y = 25000000$

$2500000 + y = 20000000$

$x = 5000000$

$y = 10000000$

$x + y = 25000000$

Step 1.3

Replace all occurrences of $x$ in $x + y = 25000000$ with $5000000$ .

$(5000000) + y = 25000000$

$2500000 + y = 20000000$

$x = 5000000$

$y = 10000000$

Step 1.4

Simplify the left side.

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Step 1.4.1

Remove parentheses.

$5000000 + y = 25000000$

$2500000 + y = 20000000$

$x = 5000000$

$y = 10000000$

$5000000 + y = 25000000$

$2500000 + y = 20000000$

$x = 5000000$

$y = 10000000$

$5000000 + y = 25000000$

$2500000 + y = 20000000$

$x = 5000000$

$y = 10000000$

Step 2

Replace all occurrences of $y$ with $10000000$ in each equation.

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Step 2.1

Replace all occurrences of $y$ in $5000000 + y = 25000000$ with $10000000$ .

$5000000 + 10000000 = 25000000$

$2500000 + y = 20000000$

$x = 5000000$

$y = 10000000$

Step 2.2

Simplify the left side.

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Step 2.2.1

Simplify $5000000 + 10000000$ .

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Step 2.2.1.1

Remove parentheses.

$5000000 + 10000000 = 25000000$

$2500000 + y = 20000000$

$x = 5000000$

$y = 10000000$

Step 2.2.1.2

Add $5000000$ and $10000000$ .

$15000000 = 25000000$

$2500000 + y = 20000000$

$x = 5000000$

$y = 10000000$

$15000000 = 25000000$

$2500000 + y = 20000000$

$x = 5000000$

$y = 10000000$

$15000000 = 25000000$

$2500000 + y = 20000000$

$x = 5000000$

$y = 10000000$

Step 2.3

Replace all occurrences of $y$ in $2500000 + y = 20000000$ with $10000000$ .

$2500000 + 10000000 = 20000000$

$15000000 = 25000000$

$x = 5000000$

$y = 10000000$

Step 2.4

Simplify the left side.

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Step 2.4.1

Simplify $2500000 + 10000000$ .

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Step 2.4.1.1

Remove parentheses.

$2500000 + 10000000 = 20000000$

$15000000 = 25000000$

$x = 5000000$

$y = 10000000$

Step 2.4.1.2

Add $2500000$ and $10000000$ .

$12500000 = 20000000$

$15000000 = 25000000$

$x = 5000000$

$y = 10000000$

$12500000 = 20000000$

$15000000 = 25000000$

$x = 5000000$

$y = 10000000$

$12500000 = 20000000$

$15000000 = 25000000$

$x = 5000000$

$y = 10000000$

$12500000 = 20000000$

$15000000 = 25000000$

$x = 5000000$

$y = 10000000$

Step 3

Since $12500000 = 20000000$ is not true, there is no solution.

No solution

Step 4