Graph Using a Table of Values 4x+5y=20

$4 x + 5 y = 20$

Step 1

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

$4 (- 2) + 5 y = 20$

Step 2

Solve the equation for $y$ .

Multiply $4$ by $- 2$ .

$- 8 + 5 y = 20$

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

Add $8$ to both sides of the equation.

$5 y = 20 + 8$

Add $20$ and $8$ .

$5 y = 28$

Divide each term in $5 y = 28$ by $5$ and simplify.

Divide each term in $5 y = 28$ by $5$ .

$\frac{5 y}{5} = \frac{28}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{28}{5}$

Divide $y$ by $1$ .

$y = \frac{28}{5}$

Step 3

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

$4 (- 1) + 5 y = 20$

Step 4

Solve the equation for $y$ .

Multiply $4$ by $- 1$ .

$- 4 + 5 y = 20$

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

Add $4$ to both sides of the equation.

$5 y = 20 + 4$

Add $20$ and $4$ .

$5 y = 24$

Divide each term in $5 y = 24$ by $5$ and simplify.

Divide each term in $5 y = 24$ by $5$ .

$\frac{5 y}{5} = \frac{24}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{24}{5}$

Divide $y$ by $1$ .

$y = \frac{24}{5}$

Step 5

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

$4 (0) + 5 y = 20$

Step 6

Solve the equation for $y$ .

Simplify $4 (0) + 5 y$ .

Multiply $4$ by $0$ .

$0 + 5 y = 20$

Add $0$ and $5 y$ .

$5 y = 20$

Divide each term in $5 y = 20$ by $5$ and simplify.

Divide each term in $5 y = 20$ by $5$ .

$\frac{5 y}{5} = \frac{20}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{20}{5}$

Divide $y$ by $1$ .

$y = \frac{20}{5}$

Simplify the right side.

Divide $20$ by $5$ .

$y = 4$

Step 7

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

$4 (1) + 5 y = 20$

Step 8

Solve the equation for $y$ .

Multiply $4$ by $1$ .

$4 + 5 y = 20$

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

Subtract $4$ from both sides of the equation.

$5 y = 20 - 4$

Subtract $4$ from $20$ .

$5 y = 16$

Divide each term in $5 y = 16$ by $5$ and simplify.

Divide each term in $5 y = 16$ by $5$ .

$\frac{5 y}{5} = \frac{16}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{16}{5}$

Divide $y$ by $1$ .

$y = \frac{16}{5}$

Step 9

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

$4 (2) + 5 y = 20$

Step 10

Solve the equation for $y$ .

Multiply $4$ by $2$ .

$8 + 5 y = 20$

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

Subtract $8$ from both sides of the equation.

$5 y = 20 - 8$

Subtract $8$ from $20$ .

$5 y = 12$

Divide each term in $5 y = 12$ by $5$ and simplify.

Divide each term in $5 y = 12$ by $5$ .

$\frac{5 y}{5} = \frac{12}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{12}{5}$

Divide $y$ by $1$ .

$y = \frac{12}{5}$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & \frac{28}{5} \\ - 1 & \frac{24}{5} \\ 0 & 4 \\ 1 & \frac{16}{5} \\ 2 & \frac{12}{5} \end{array}$

Step 12

Graph Using a Table of Values 4x+5y=20

Related Questions

Support LCMGCF.com by disabling your adblocker.