Finite Math Examples

$2 x - y = 4$ , $x + y = 3$ , $y = 0$

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 $2 x - y = 4$ with $0$ .

$2 x - (0) = 4$

$y = 0$

$x + y = 3$

Step 1.2

Simplify the left side.

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Step 1.2.1

Subtract $0$ from $2 x$ .

$2 x = 4$

$y = 0$

$x + y = 3$

$2 x = 4$

$y = 0$

$x + y = 3$

Step 1.3

Replace all occurrences of $y$ in $x + y = 3$ with $0$ .

$x + 0 = 3$

$2 x = 4$

$y = 0$

Step 1.4

Simplify the left side.

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Step 1.4.1

Simplify $x + 0$ .

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Step 1.4.1.1

Remove parentheses.

$x + 0 = 3$

$2 x = 4$

$y = 0$

Step 1.4.1.2

Add $x$ and $0$ .

$x = 3$

$2 x = 4$

$y = 0$

$x = 3$

$2 x = 4$

$y = 0$

$x = 3$

$2 x = 4$

$y = 0$

$x = 3$

$2 x = 4$

$y = 0$

Step 2

Replace all occurrences of $x$ with $3$ in each equation.

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Step 2.1

Replace all occurrences of $x$ in $2 x = 4$ with $3$ .

$2 (3) = 4$

$x = 3$

$y = 0$

Step 2.2

Simplify the left side.

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Step 2.2.1

Multiply $2$ by $3$ .

$6 = 4$

$x = 3$

$y = 0$

$6 = 4$

$x = 3$

$y = 0$

$6 = 4$

$x = 3$

$y = 0$

Step 3

Since $6 = 4$ is not true, there is no solution.

No solution

Step 4