Graph Using a Table of Values 3x-y=2

$3 x - y = 2$

Step 1

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

$3 (- 2) - y = 2$

Step 2

Solve the equation for $y$ .

Multiply $3$ by $- 2$ .

$- 6 - y = 2$

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

Add $6$ to both sides of the equation.

$- y = 2 + 6$

Add $2$ and $6$ .

$- y = 8$

Divide each term in $- y = 8$ by $- 1$ and simplify.

Divide each term in $- y = 8$ by $- 1$ .

$\frac{- y}{- 1} = \frac{8}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{8}{- 1}$

Divide $y$ by $1$ .

$y = \frac{8}{- 1}$

Simplify the right side.

Divide $8$ by $- 1$ .

$y = - 8$

Step 3

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

$3 (- 1) - y = 2$

Step 4

Solve the equation for $y$ .

Multiply $3$ by $- 1$ .

$- 3 - y = 2$

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

Add $3$ to both sides of the equation.

$- y = 2 + 3$

Add $2$ and $3$ .

$- y = 5$

Divide each term in $- y = 5$ by $- 1$ and simplify.

Divide each term in $- y = 5$ by $- 1$ .

$\frac{- y}{- 1} = \frac{5}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{5}{- 1}$

Divide $y$ by $1$ .

$y = \frac{5}{- 1}$

Simplify the right side.

Divide $5$ by $- 1$ .

$y = - 5$

Step 5

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

$3 (0) - y = 2$

Step 6

Solve the equation for $y$ .

Simplify $3 (0) - y$ .

Multiply $3$ by $0$ .

$0 - y = 2$

Subtract $y$ from $0$ .

$- y = 2$

Divide each term in $- y = 2$ by $- 1$ and simplify.

Divide each term in $- y = 2$ by $- 1$ .

$\frac{- y}{- 1} = \frac{2}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{2}{- 1}$

Divide $y$ by $1$ .

$y = \frac{2}{- 1}$

Simplify the right side.

Divide $2$ by $- 1$ .

$y = - 2$

Step 7

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

$3 (1) - y = 2$

Step 8

Solve the equation for $y$ .

Multiply $3$ by $1$ .

$3 - y = 2$

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

Subtract $3$ from both sides of the equation.

$- y = 2 - 3$

Subtract $3$ from $2$ .

$- y = - 1$

Divide each term in $- y = - 1$ by $- 1$ and simplify.

Divide each term in $- y = - 1$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 1}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 1}{- 1}$

Divide $y$ by $1$ .

$y = \frac{- 1}{- 1}$

Simplify the right side.

Divide $- 1$ by $- 1$ .

$y = 1$

Step 9

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

$3 (2) - y = 2$

Step 10

Solve the equation for $y$ .

Multiply $3$ by $2$ .

$6 - y = 2$

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

Subtract $6$ from both sides of the equation.

$- y = 2 - 6$

Subtract $6$ from $2$ .

$- y = - 4$

Divide each term in $- y = - 4$ by $- 1$ and simplify.

Divide each term in $- y = - 4$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 4}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 4}{- 1}$

Divide $y$ by $1$ .

$y = \frac{- 4}{- 1}$

Simplify the right side.

Divide $- 4$ by $- 1$ .

$y = 4$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 8 \\ - 1 & - 5 \\ 0 & - 2 \\ 1 & 1 \\ 2 & 4 \end{array}$

Step 12

Graph Using a Table of Values 3x-y=2

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