Finite Math Examples

$2 x - 1 x - 5 x = 12$ , $1 x - 3 x = 11$

Step 1

Divide each term in $- 4 x = 12$ by $- 4$ and simplify.

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Step 1.1

Divide each term in $- 4 x = 12$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{12}{- 4}$

$- 2 x = 11$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $- 4$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{12}{- 4}$

$- 2 x = 11$

Step 1.2.1.2

Divide $x$ by $1$ .

$x = \frac{12}{- 4}$

$- 2 x = 11$

$x = \frac{12}{- 4}$

$- 2 x = 11$

$x = \frac{12}{- 4}$

$- 2 x = 11$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $12$ by $- 4$ .

$x = - 3$

$- 2 x = 11$

$x = - 3$

$- 2 x = 11$

$x = - 3$

$- 2 x = 11$

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 $- 2 x = 11$ with $- 3$ .

$- 2 \cdot - 3 = 11$

$x = - 3$

Step 2.2

Simplify the left side.

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Step 2.2.1

Multiply $- 2$ by $- 3$ .

$6 = 11$

$x = - 3$

$6 = 11$

$x = - 3$

$6 = 11$

$x = - 3$

Step 3

Since $6 = 11$ is not true, there is no solution.

No solution

Step 4