Solve by Substitution y=2x , 4x-2y=0

$y = 2 x$ , $4 x - 2 y = 0$

Step 1

Replace all occurrences of $y$ with $2 x$ in each equation.

Replace all occurrences of $y$ in $4 x - 2 y = 0$ with $2 x$ .

$4 x - 2 (2 x) = 0$

$y = 2 x$

Simplify the left side.

Simplify $4 x - 2 (2 x)$ .

Multiply $2$ by $- 2$ .

$4 x - 4 x = 0$

$y = 2 x$

Subtract $4 x$ from $4 x$ .

$0 = 0$

$y = 2 x$

$0 = 0$

$y = 2 x$

$0 = 0$

$y = 2 x$

$0 = 0$

$y = 2 x$

Step 2

Remove any equations from the system that are always true.

$y = 2 x$

Step 3

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