Finite Math Examples

$x + x + 2 x = 4$ , $3 x + 5 x = - 12$ , $5 x - x = 2$

Step 1

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

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Step 1.1

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

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

$8 x = - 12$

$4 x = 2$

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.

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

$8 x = - 12$

$4 x = 2$

Step 1.2.1.2

Divide $x$ by $1$ .

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

$8 x = - 12$

$4 x = 2$

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

$8 x = - 12$

$4 x = 2$

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

$8 x = - 12$

$4 x = 2$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $4$ by $4$ .

$x = 1$

$8 x = - 12$

$4 x = 2$

$x = 1$

$8 x = - 12$

$4 x = 2$

$x = 1$

$8 x = - 12$

$4 x = 2$

Step 2

Replace all occurrences of $x$ with $1$ in each equation.

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Step 2.1

Replace all occurrences of $x$ in $8 x = - 12$ with $1$ .

$8 (1) = - 12$

$x = 1$

$4 x = 2$

Step 2.2

Simplify the left side.

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Step 2.2.1

Multiply $8$ by $1$ .

$8 = - 12$

$x = 1$

$4 x = 2$

$8 = - 12$

$x = 1$

$4 x = 2$

Step 2.3

Replace all occurrences of $x$ in $4 x = 2$ with $1$ .

$4 (1) = 2$

$8 = - 12$

$x = 1$

Step 2.4

Simplify the left side.

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Step 2.4.1

Multiply $4$ by $1$ .

$4 = 2$

$8 = - 12$

$x = 1$

$4 = 2$

$8 = - 12$

$x = 1$

$4 = 2$

$8 = - 12$

$x = 1$

Step 3

Since $4 = 2$ is not true, there is no solution.

No solution

Step 4