Linear Algebra Examples

$- 7 x = 49$

Step 1

Divide each term in $- 7 x = 49$ by $- 7$ and simplify.

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Step 1.1

Divide each term in $- 7 x = 49$ by $- 7$ .

$\frac{- 7 x}{- 7} = \frac{49}{- 7}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $- 7$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{- 7 x}{- 7} = \frac{49}{- 7}$

Step 1.2.1.2

Divide $x$ by $1$ .

$x = \frac{49}{- 7}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $49$ by $- 7$ .

$x = - 7$

Step 2

The domain is the set of all valid $x$ values.

${x | x = - 7}$

Step 3