Algebra Examples

$2 x + y = - 1$

Substitute $- 2$ for $x$ and find the result for $y$ .

$2 (- 2) + y = - 1$

Solve the equation for $y$ .

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Multiply $2$ by $- 2$ .

$- 4 + y = - 1$

Move all terms not containing $y$ to the right side of the equation.

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Add $4$ to both sides of the equation.

$y = - 1 + 4$

Add $- 1$ and $4$ .

$y = 3$

Substitute $- 1$ for $x$ and find the result for $y$ .

$2 (- 1) + y = - 1$

Solve the equation for $y$ .

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Multiply $2$ by $- 1$ .

$- 2 + y = - 1$

Move all terms not containing $y$ to the right side of the equation.

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Add $2$ to both sides of the equation.

$y = - 1 + 2$

Add $- 1$ and $2$ .

$y = 1$

Substitute $0$ for $x$ and find the result for $y$ .

$2 (0) + y = - 1$

Simplify $2 (0) + y$ .

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Multiply $2$ by $0$ .

$0 + y = - 1$

Add $0$ and $y$ .

$y = - 1$

Substitute $1$ for $x$ and find the result for $y$ .

$2 (1) + y = - 1$

Solve the equation for $y$ .

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Multiply $2$ by $1$ .

$2 + y = - 1$

Move all terms not containing $y$ to the right side of the equation.

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Subtract $2$ from both sides of the equation.

$y = - 1 - 2$

Subtract $2$ from $- 1$ .

$y = - 3$

Substitute $2$ for $x$ and find the result for $y$ .

$2 (2) + y = - 1$

Solve the equation for $y$ .

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Multiply $2$ by $2$ .

$4 + y = - 1$

Move all terms not containing $y$ to the right side of the equation.

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Subtract $4$ from both sides of the equation.

$y = - 1 - 4$

Subtract $4$ from $- 1$ .

$y = - 5$

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & 3 \\ - 1 & 1 \\ 0 & - 1 \\ 1 & - 3 \\ 2 & - 5 \end{array}$