Finite Math Examples

$x - y = 0$ , $2 x - y = 8$ , $0 = x$ , $x = 11$

Step 1

Replace all occurrences of $x$ with $11$ in each equation.

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Step 1.1

Replace all occurrences of $x$ in $x - y = 0$ with $11$ .

$(11) - y = 0$

$x = 11$

$2 x - y = 8$

$0 = x$

Step 1.2

Simplify the left side.

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Step 1.2.1

Remove parentheses.

$11 - y = 0$

$x = 11$

$2 x - y = 8$

$0 = x$

$11 - y = 0$

$x = 11$

$2 x - y = 8$

$0 = x$

Step 1.3

Replace all occurrences of $x$ in $2 x - y = 8$ with $11$ .

$2 (11) - y = 8$

$11 - y = 0$

$x = 11$

$0 = x$

Step 1.4

Simplify the left side.

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Step 1.4.1

Multiply $2$ by $11$ .

$22 - y = 8$

$11 - y = 0$

$x = 11$

$0 = x$

$22 - y = 8$

$11 - y = 0$

$x = 11$

$0 = x$

Step 1.5

Replace all occurrences of $x$ in $0 = x$ with $11$ .

$0 = 11$

$22 - y = 8$

$11 - y = 0$

$x = 11$

Step 1.6

Simplify the left side.

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Step 1.6.1

Remove parentheses.

$0 = 11$

$22 - y = 8$

$11 - y = 0$

$x = 11$

$0 = 11$

$22 - y = 8$

$11 - y = 0$

$x = 11$

$0 = 11$

$22 - y = 8$

$11 - y = 0$

$x = 11$

Step 2

Since $0 = 11$ is not true, there is no solution.

No solution

Step 3