Linear Algebra Examples

$z = 3$ , $x = 3 - 5 z$

Step 1

Replace all occurrences of $z$ with $3$ in each equation.

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Step 1.1

Replace all occurrences of $z$ in $x = 3 - 5 z$ with $3$ .

$x = 3 - 5 \cdot 3$

$z = 3$

Step 1.2

Simplify the right side.

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Step 1.2.1

Simplify $3 - 5 \cdot 3$ .

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Step 1.2.1.1

Multiply $- 5$ by $3$ .

$x = 3 - 15$

$z = 3$

Step 1.2.1.2

Subtract $15$ from $3$ .

$x = - 12$

$z = 3$

$x = - 12$

$z = 3$

$x = - 12$

$z = 3$

$x = - 12$

$z = 3$

Step 2

List all of the solutions.

$x = - 12, z = 3$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$