Finite Math Examples

$4 x - y = 6$ , $x + 3 = 3$ , $y = 0$

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 $4 x - y = 6$ with $0$ .

$4 x - (0) = 6$

$y = 0$

$x + 3 = 3$

Step 1.2

Simplify the left side.

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Step 1.2.1

Subtract $0$ from $4 x$ .

$4 x = 6$

$y = 0$

$x + 3 = 3$

$4 x = 6$

$y = 0$

$x + 3 = 3$

Step 1.3

Move all terms not containing $x$ to the right side of the equation.

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Step 1.3.1

Subtract $3$ from both sides of the equation.

$x = 3 - 3$

$4 x = 6$

$y = 0$

Step 1.3.2

Subtract $3$ from $3$ .

$x = 0$

$4 x = 6$

$y = 0$

$x = 0$

$4 x = 6$

$y = 0$

$x = 0$

$4 x = 6$

$y = 0$

Step 2

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

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Step 2.1

Replace all occurrences of $x$ in $4 x = 6$ with $0$ .

$4 (0) = 6$

$x = 0$

$y = 0$

Step 2.2

Simplify the left side.

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Step 2.2.1

Multiply $4$ by $0$ .

$0 = 6$

$x = 0$

$y = 0$

$0 = 6$

$x = 0$

$y = 0$

$0 = 6$

$x = 0$

$y = 0$

Step 3

Since $0 = 6$ is not true, there is no solution.

No solution

Step 4