Finite Math Examples

$x + 2 y = 10$ , $x + y = 9$ , $x = 0$ , $y = 0$

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 $x + 2 y = 10$ with $0$ .

$(0) + 2 y = 10$

$x = 0$

$x + y = 9$

$y = 0$

Step 1.2

Simplify the left side.

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Step 1.2.1

Add $0$ and $2 y$ .

$2 y = 10$

$x = 0$

$x + y = 9$

$y = 0$

$2 y = 10$

$x = 0$

$x + y = 9$

$y = 0$

Step 1.3

Replace all occurrences of $x$ in $x + y = 9$ with $0$ .

$(0) + y = 9$

$2 y = 10$

$x = 0$

$y = 0$

Step 1.4

Simplify the left side.

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Step 1.4.1

Add $0$ and $y$ .

$y = 9$

$2 y = 10$

$x = 0$

$y = 0$

$y = 9$

$2 y = 10$

$x = 0$

$y = 0$

$y = 9$

$2 y = 10$

$x = 0$

$y = 0$

Step 2

Replace all occurrences of $y$ with $9$ in each equation.

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Step 2.1

Replace all occurrences of $y$ in $2 y = 10$ with $9$ .

$2 (9) = 10$

$y = 9$

$x = 0$

$y = 0$

Step 2.2

Simplify the left side.

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Step 2.2.1

Multiply $2$ by $9$ .

$18 = 10$

$y = 9$

$x = 0$

$y = 0$

$18 = 10$

$y = 9$

$x = 0$

$y = 0$

$18 = 10$

$y = 9$

$x = 0$

$y = 0$

Step 3

Since $18 = 10$ is not true, there is no solution.

No solution

Step 4