Linear Algebra Examples

$724 k + 56 - 98 + 4587 k = 1234456$

Step 1

Simplify $724 k + 56 - 98 + 4587 k$ .

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Step 1.1

Add $724 k$ and $4587 k$ .

$5311 k + 56 - 98 = 1234456$

Step 1.2

Subtract $98$ from $56$ .

$5311 k - 42 = 1234456$

Step 2

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

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Step 2.1

Add $42$ to both sides of the equation.

$5311 k = 1234456 + 42$

Step 2.2

Add $1234456$ and $42$ .

$5311 k = 1234498$

Step 3

Divide each term in $5311 k = 1234498$ by $5311$ and simplify.

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Step 3.1

Divide each term in $5311 k = 1234498$ by $5311$ .

$\frac{5311 k}{5311} = \frac{1234498}{5311}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $5311$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{5311 k}{5311} = \frac{1234498}{5311}$

Step 3.2.1.2

Divide $k$ by $1$ .

$k = \frac{1234498}{5311}$

Step 4

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

${k | k = \frac{1234498}{5311}}$

Step 5