Graph Using a Table of Values 3x+8y=96

$3 x + 8 y = 96$

Step 1

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

$3 (- 2) + 8 y = 96$

Step 2

Solve the equation for $y$ .

Multiply $3$ by $- 2$ .

$- 6 + 8 y = 96$

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

Add $6$ to both sides of the equation.

$8 y = 96 + 6$

Add $96$ and $6$ .

$8 y = 102$

Divide each term in $8 y = 102$ by $8$ and simplify.

Divide each term in $8 y = 102$ by $8$ .

$\frac{8 y}{8} = \frac{102}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{102}{8}$

Divide $y$ by $1$ .

$y = \frac{102}{8}$

Simplify the right side.

Cancel the common factor of $102$ and $8$ .

Factor $2$ out of $102$ .

$y = \frac{2 (51)}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$y = \frac{2 \cdot 51}{2 \cdot 4}$

Cancel the common factor.

$y = \frac{2 \cdot 51}{2 \cdot 4}$

Rewrite the expression.

$y = \frac{51}{4}$

Step 3

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

$3 (- 1) + 8 y = 96$

Step 4

Solve the equation for $y$ .

Multiply $3$ by $- 1$ .

$- 3 + 8 y = 96$

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

Add $3$ to both sides of the equation.

$8 y = 96 + 3$

Add $96$ and $3$ .

$8 y = 99$

Divide each term in $8 y = 99$ by $8$ and simplify.

Divide each term in $8 y = 99$ by $8$ .

$\frac{8 y}{8} = \frac{99}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{99}{8}$

Divide $y$ by $1$ .

$y = \frac{99}{8}$

Step 5

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

$3 (0) + 8 y = 96$

Step 6

Solve the equation for $y$ .

Simplify $3 (0) + 8 y$ .

Multiply $3$ by $0$ .

$0 + 8 y = 96$

Add $0$ and $8 y$ .

$8 y = 96$

Divide each term in $8 y = 96$ by $8$ and simplify.

Divide each term in $8 y = 96$ by $8$ .

$\frac{8 y}{8} = \frac{96}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{96}{8}$

Divide $y$ by $1$ .

$y = \frac{96}{8}$

Simplify the right side.

Divide $96$ by $8$ .

$y = 12$

Step 7

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

$3 (1) + 8 y = 96$

Step 8

Solve the equation for $y$ .

Multiply $3$ by $1$ .

$3 + 8 y = 96$

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

Subtract $3$ from both sides of the equation.

$8 y = 96 - 3$

Subtract $3$ from $96$ .

$8 y = 93$

Divide each term in $8 y = 93$ by $8$ and simplify.

Divide each term in $8 y = 93$ by $8$ .

$\frac{8 y}{8} = \frac{93}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{93}{8}$

Divide $y$ by $1$ .

$y = \frac{93}{8}$

Step 9

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

$3 (2) + 8 y = 96$

Step 10

Solve the equation for $y$ .

Multiply $3$ by $2$ .

$6 + 8 y = 96$

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

Subtract $6$ from both sides of the equation.

$8 y = 96 - 6$

Subtract $6$ from $96$ .

$8 y = 90$

Divide each term in $8 y = 90$ by $8$ and simplify.

Divide each term in $8 y = 90$ by $8$ .

$\frac{8 y}{8} = \frac{90}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{90}{8}$

Divide $y$ by $1$ .

$y = \frac{90}{8}$

Simplify the right side.

Cancel the common factor of $90$ and $8$ .

Factor $2$ out of $90$ .

$y = \frac{2 (45)}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$y = \frac{2 \cdot 45}{2 \cdot 4}$

Cancel the common factor.

$y = \frac{2 \cdot 45}{2 \cdot 4}$

Rewrite the expression.

$y = \frac{45}{4}$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & \frac{51}{4} \\ - 1 & \frac{99}{8} \\ 0 & 12 \\ 1 & \frac{93}{8} \\ 2 & \frac{45}{4} \end{array}$

Step 12

Graph Using a Table of Values 3x+8y=96

Related Questions

Support LCMGCF.com by disabling your adblocker.