Pre-Algebra Examples

$x = 0$ , $y = 0$ , $x + 4 y = 8$ , $y = 4$

Step 1

Replace all occurrences of $x$ with $0$ in each equation.

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Step 1.1

Replace all occurrences of $x$ in $x + 4 y = 8$ with $0$ .

$(0) + 4 y = 8$

$x = 0$

$y = 0$

$y = 4$

Step 1.2

Simplify the left side.

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Step 1.2.1

Add $0$ and $4 y$ .

$4 y = 8$

$x = 0$

$y = 0$

$y = 4$

$4 y = 8$

$x = 0$

$y = 0$

$y = 4$

$4 y = 8$

$x = 0$

$y = 0$

$y = 4$

Step 2

Replace all occurrences of $y$ with $0$ in each equation.

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Step 2.1

Replace all occurrences of $y$ in $4 y = 8$ with $0$ .

$4 (0) = 8$

$x = 0$

$y = 0$

$y = 4$

Step 2.2

Simplify the left side.

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Step 2.2.1

Multiply $4$ by $0$ .

$0 = 8$

$x = 0$

$y = 0$

$y = 4$

$0 = 8$

$x = 0$

$y = 0$

$y = 4$

$0 = 8$

$x = 0$

$y = 0$

$y = 4$

Step 3

Since $0 = 8$ is not true, there is no solution.

No solution

Step 4