Finite Math Examples

$4 x \cdot 1 - x \cdot 2 = 7$ , $x \cdot 1 + 2 x \cdot 2 = 4$

Step 1

Divide each term in $2 x = 7$ by $2$ and simplify.

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Step 1.1

Divide each term in $2 x = 7$ by $2$ .

$\frac{2 x}{2} = \frac{7}{2}$

$5 x = 4$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $2$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{7}{2}$

$5 x = 4$

Step 1.2.1.2

Divide $x$ by $1$ .

$x = \frac{7}{2}$

$5 x = 4$

$x = \frac{7}{2}$

$5 x = 4$

$x = \frac{7}{2}$

$5 x = 4$

$x = \frac{7}{2}$

$5 x = 4$

Step 2

Replace all occurrences of $x$ with $\frac{7}{2}$ in each equation.

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Step 2.1

Replace all occurrences of $x$ in $5 x = 4$ with $\frac{7}{2}$ .

$5 (\frac{7}{2}) = 4$

$x = \frac{7}{2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Multiply $5 (\frac{7}{2})$ .

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Step 2.2.1.1

Combine $5$ and $\frac{7}{2}$ .

$\frac{5 \cdot 7}{2} = 4$

$x = \frac{7}{2}$

Step 2.2.1.2

Multiply $5$ by $7$ .

$\frac{35}{2} = 4$

$x = \frac{7}{2}$

$\frac{35}{2} = 4$

$x = \frac{7}{2}$

$\frac{35}{2} = 4$

$x = \frac{7}{2}$

$\frac{35}{2} = 4$

$x = \frac{7}{2}$

Step 3

Since $\frac{35}{2} = 4$ is not true, there is no solution.

No solution

Step 4