Finite Math Examples

$y = 0$ , $y = 8$ , $x = 6$ , $x + y = 10$ , $y = x$ , $x = 0$

Step 1

Replace all occurrences of $y$ with $0$ in each equation.

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Step 1.1

Replace all occurrences of $y$ in $x + y = 10$ with $0$ .

$x + 0 = 10$

$y = 0$

$y = 8$

$x = 6$

$y = x$

$x = 0$

Step 1.2

Simplify the left side.

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Step 1.2.1

Simplify $x + 0$ .

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Step 1.2.1.1

Remove parentheses.

$x + 0 = 10$

$y = 0$

$y = 8$

$x = 6$

$y = x$

$x = 0$

Step 1.2.1.2

Add $x$ and $0$ .

$x = 10$

$y = 0$

$y = 8$

$x = 6$

$y = x$

$x = 0$

$x = 10$

$y = 0$

$y = 8$

$x = 6$

$y = x$

$x = 0$

$x = 10$

$y = 0$

$y = 8$

$x = 6$

$y = x$

$x = 0$

Step 1.3

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

$0 = x$

$x = 10$

$y = 0$

$y = 8$

$x = 6$

$x = 0$

Step 1.4

Simplify the left side.

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Step 1.4.1

Remove parentheses.

$0 = x$

$x = 10$

$y = 0$

$y = 8$

$x = 6$

$x = 0$

$0 = x$

$x = 10$

$y = 0$

$y = 8$

$x = 6$

$x = 0$

$0 = x$

$x = 10$

$y = 0$

$y = 8$

$x = 6$

$x = 0$

Step 2

Replace all occurrences of $x$ with $10$ in each equation.

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Step 2.1

Replace all occurrences of $x$ in $0 = x$ with $10$ .

$0 = 10$

$x = 10$

$y = 0$

$y = 8$

$x = 6$

$x = 0$

Step 2.2

Simplify the left side.

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Step 2.2.1

Remove parentheses.

$0 = 10$

$x = 10$

$y = 0$

$y = 8$

$x = 6$

$x = 0$

$0 = 10$

$x = 10$

$y = 0$

$y = 8$

$x = 6$

$x = 0$

$0 = 10$

$x = 10$

$y = 0$

$y = 8$

$x = 6$

$x = 0$

Step 3

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

No solution

Step 4