Finite Math Examples

$32 x + 12 y = 480$ , $35 x + 35 y = 875$ , $6 x + 12 y = 240$ , $x = 0$ , $y = 0$

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 $32 x + 12 y = 480$ with $0$ .

$32 (0) + 12 y = 480$

$x = 0$

$35 x + 35 y = 875$

$6 x + 12 y = 240$

$y = 0$

Step 1.2

Simplify the left side.

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Step 1.2.1

Simplify $32 (0) + 12 y$ .

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Step 1.2.1.1

Multiply $32$ by $0$ .

$0 + 12 y = 480$

$x = 0$

$35 x + 35 y = 875$

$6 x + 12 y = 240$

$y = 0$

Step 1.2.1.2

Add $0$ and $12 y$ .

$12 y = 480$

$x = 0$

$35 x + 35 y = 875$

$6 x + 12 y = 240$

$y = 0$

$12 y = 480$

$x = 0$

$35 x + 35 y = 875$

$6 x + 12 y = 240$

$y = 0$

$12 y = 480$

$x = 0$

$35 x + 35 y = 875$

$6 x + 12 y = 240$

$y = 0$

Step 1.3

Replace all occurrences of $x$ in $35 x + 35 y = 875$ with $0$ .

$35 (0) + 35 y = 875$

$12 y = 480$

$x = 0$

$6 x + 12 y = 240$

$y = 0$

Step 1.4

Simplify the left side.

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Step 1.4.1

Simplify $35 (0) + 35 y$ .

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Step 1.4.1.1

Multiply $35$ by $0$ .

$0 + 35 y = 875$

$12 y = 480$

$x = 0$

$6 x + 12 y = 240$

$y = 0$

Step 1.4.1.2

Add $0$ and $35 y$ .

$35 y = 875$

$12 y = 480$

$x = 0$

$6 x + 12 y = 240$

$y = 0$

$35 y = 875$

$12 y = 480$

$x = 0$

$6 x + 12 y = 240$

$y = 0$

$35 y = 875$

$12 y = 480$

$x = 0$

$6 x + 12 y = 240$

$y = 0$

Step 1.5

Replace all occurrences of $x$ in $6 x + 12 y = 240$ with $0$ .

$6 (0) + 12 y = 240$

$35 y = 875$

$12 y = 480$

$x = 0$

$y = 0$

Step 1.6

Simplify the left side.

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Step 1.6.1

Simplify $6 (0) + 12 y$ .

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Step 1.6.1.1

Multiply $6$ by $0$ .

$0 + 12 y = 240$

$35 y = 875$

$12 y = 480$

$x = 0$

$y = 0$

Step 1.6.1.2

Add $0$ and $12 y$ .

$12 y = 240$

$35 y = 875$

$12 y = 480$

$x = 0$

$y = 0$

$12 y = 240$

$35 y = 875$

$12 y = 480$

$x = 0$

$y = 0$

$12 y = 240$

$35 y = 875$

$12 y = 480$

$x = 0$

$y = 0$

$12 y = 240$

$35 y = 875$

$12 y = 480$

$x = 0$

$y = 0$

Step 2

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

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Step 2.1

Replace all occurrences of $y$ in $12 y = 240$ with $0$ .

$12 (0) = 240$

$35 y = 875$

$12 y = 480$

$x = 0$

$y = 0$

Step 2.2

Simplify the left side.

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Step 2.2.1

Multiply $12$ by $0$ .

$0 = 240$

$35 y = 875$

$12 y = 480$

$x = 0$

$y = 0$

$0 = 240$

$35 y = 875$

$12 y = 480$

$x = 0$

$y = 0$

Step 2.3

Replace all occurrences of $y$ in $35 y = 875$ with $0$ .

$35 (0) = 875$

$0 = 240$

$12 y = 480$

$x = 0$

$y = 0$

Step 2.4

Simplify the left side.

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Step 2.4.1

Multiply $35$ by $0$ .

$0 = 875$

$0 = 240$

$12 y = 480$

$x = 0$

$y = 0$

$0 = 875$

$0 = 240$

$12 y = 480$

$x = 0$

$y = 0$

Step 2.5

Replace all occurrences of $y$ in $12 y = 480$ with $0$ .

$12 (0) = 480$

$0 = 875$

$0 = 240$

$x = 0$

$y = 0$

Step 2.6

Simplify the left side.

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Step 2.6.1

Multiply $12$ by $0$ .

$0 = 480$

$0 = 875$

$0 = 240$

$x = 0$

$y = 0$

$0 = 480$

$0 = 875$

$0 = 240$

$x = 0$

$y = 0$

$0 = 480$

$0 = 875$

$0 = 240$

$x = 0$

$y = 0$

Step 3

Since $0 = 480$ is not true, there is no solution.

No solution

Step 4