Solve by Substitution y=5x , 10x-2y=0

$y = 5 x$ , $10 x - 2 y = 0$

Step 1

Replace all occurrences of $y$ with $5 x$ in each equation.

Replace all occurrences of $y$ in $10 x - 2 y = 0$ with $5 x$ .

$10 x - 2 (5 x) = 0$

$y = 5 x$

Simplify the left side.

Simplify $10 x - 2 (5 x)$ .

Multiply $5$ by $- 2$ .

$10 x - 10 x = 0$

$y = 5 x$

Subtract $10 x$ from $10 x$ .

$0 = 0$

$y = 5 x$

$0 = 0$

$y = 5 x$

$0 = 0$

$y = 5 x$

$0 = 0$

$y = 5 x$

Step 2

Remove any equations from the system that are always true.

$y = 5 x$

Step 3

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