Solve the System of Equations y=-2x+5 2x+y=5

$y = - 2 x + 5$ $2 x + y = 5$

Step 1

Replace all occurrences of $y$ with $- 2 x + 5$ in each equation.

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

$2 x - 2 x + 5 = 5$

$y = - 2 x + 5$

Simplify the left side.

Simplify $2 x - 2 x + 5$ .

Remove parentheses.

$2 x - 2 x + 5 = 5$

$y = - 2 x + 5$

Subtract $2 x$ from $2 x$ .

$0 + 5 = 5$

$y = - 2 x + 5$

Add $0$ and $5$ .

$5 = 5$

$y = - 2 x + 5$

$5 = 5$

$y = - 2 x + 5$

$5 = 5$

$y = - 2 x + 5$

$5 = 5$

$y = - 2 x + 5$

Step 2

Remove any equations from the system that are always true.

$y = - 2 x + 5$

Step 3

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