Algebra Examples

$x + y = 4$ $y = - x + 4$

Step 1

Replace all occurrences of $y$ with $- x + 4$ in each equation.

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Step 1.1

Replace all occurrences of $y$ in $x + y = 4$ with $- x + 4$ .

$x - x + 4 = 4$

$y = - x + 4$

Step 1.2

Simplify the left side.

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Step 1.2.1

Simplify $x - x + 4$ .

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Step 1.2.1.1

Remove parentheses.

$x - x + 4 = 4$

$y = - x + 4$

Step 1.2.1.2

Subtract $x$ from $x$ .

$0 + 4 = 4$

$y = - x + 4$

Step 1.2.1.3

Add $0$ and $4$ .

$4 = 4$

$y = - x + 4$

$4 = 4$

$y = - x + 4$

$4 = 4$

$y = - x + 4$

$4 = 4$

$y = - x + 4$

Step 2

Remove any equations from the system that are always true.

$y = - x + 4$

Step 3

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