Graph Using a Table of Values 2x+y=7

$2 x + y = 7$

Step 1

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

$2 (- 2) + y = 7$

Step 2

Solve the equation for $y$ .

Multiply $2$ by $- 2$ .

$- 4 + y = 7$

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

Add $4$ to both sides of the equation.

$y = 7 + 4$

Add $7$ and $4$ .

$y = 11$

Step 3

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

$2 (- 1) + y = 7$

Step 4

Solve the equation for $y$ .

Multiply $2$ by $- 1$ .

$- 2 + y = 7$

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

Add $2$ to both sides of the equation.

$y = 7 + 2$

Add $7$ and $2$ .

$y = 9$

Step 5

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

$2 (0) + y = 7$

Step 6

Simplify $2 (0) + y$ .

Multiply $2$ by $0$ .

$0 + y = 7$

Add $0$ and $y$ .

$y = 7$

Step 7

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

$2 (1) + y = 7$

Step 8

Solve the equation for $y$ .

Multiply $2$ by $1$ .

$2 + y = 7$

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

Subtract $2$ from both sides of the equation.

$y = 7 - 2$

Subtract $2$ from $7$ .

$y = 5$

Step 9

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

$2 (2) + y = 7$

Step 10

Solve the equation for $y$ .

Multiply $2$ by $2$ .

$4 + y = 7$

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

Subtract $4$ from both sides of the equation.

$y = 7 - 4$

Subtract $4$ from $7$ .

$y = 3$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 11 \\ - 1 & 9 \\ 0 & 7 \\ 1 & 5 \\ 2 & 3 \end{array}$

Step 12

Graph Using a Table of Values 2x+y=7

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