Finite Math Examples

$3 u - 4 = 2$ , $- 2 u = 2$

Step 1

Solve for $u$ in $3 u - 4 = 2$ .

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Step 1.1

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

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Step 1.1.1

Add $4$ to both sides of the equation.

$3 u = 2 + 4$

$- 2 u = 2$

Step 1.1.2

Add $2$ and $4$ .

$3 u = 6$

$- 2 u = 2$

$3 u = 6$

$- 2 u = 2$

Step 1.2

Divide each term in $3 u = 6$ by $3$ and simplify.

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Step 1.2.1

Divide each term in $3 u = 6$ by $3$ .

$\frac{3 u}{3} = \frac{6}{3}$

$- 2 u = 2$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $3$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{3 u}{3} = \frac{6}{3}$

$- 2 u = 2$

Step 1.2.2.1.2

Divide $u$ by $1$ .

$u = \frac{6}{3}$

$- 2 u = 2$

$u = \frac{6}{3}$

$- 2 u = 2$

$u = \frac{6}{3}$

$- 2 u = 2$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Divide $6$ by $3$ .

$u = 2$

$- 2 u = 2$

$u = 2$

$- 2 u = 2$

$u = 2$

$- 2 u = 2$

$u = 2$

$- 2 u = 2$

Step 2

Replace all occurrences of $u$ with $2$ in each equation.

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Step 2.1

Replace all occurrences of $u$ in $- 2 u = 2$ with $2$ .

$- 2 \cdot 2 = 2$

$u = 2$

Step 2.2

Simplify the left side.

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Step 2.2.1

Multiply $- 2$ by $2$ .

$- 4 = 2$

$u = 2$

$- 4 = 2$

$u = 2$

$- 4 = 2$

$u = 2$

Step 3

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

No solution