Solve the System of Equations 2x+y=2 y=-2x-1

$2 x + y = 2$ $y = - 2 x - 1$

Step 1

Replace all occurrences of $y$ with $- 2 x - 1$ in each equation.

Replace all occurrences of $y$ in $2 x + y = 2$ with $- 2 x - 1$ .

$2 x - 2 x - 1 = 2$

$y = - 2 x - 1$

Simplify the left side.

Simplify $2 x - 2 x - 1$ .

Remove parentheses.

$2 x - 2 x - 1 = 2$

$y = - 2 x - 1$

Subtract $2 x$ from $2 x$ .

$0 - 1 = 2$

$y = - 2 x - 1$

Subtract $1$ from $0$ .

$- 1 = 2$

$y = - 2 x - 1$

$- 1 = 2$

$y = - 2 x - 1$

$- 1 = 2$

$y = - 2 x - 1$

$- 1 = 2$

$y = - 2 x - 1$

Step 2

Since $- 1 = 2$ is not true, there is no solution.

No solution

Step 3

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