Finite Math Examples

$4 x + y = - 6$

Step 1

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

$4 (- 2) + y = - 6$

Step 2

Solve the equation for $y$ .

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Step 2.1

Multiply $4$ by $- 2$ .

$- 8 + y = - 6$

Step 2.2

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

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Step 2.2.1

Add $8$ to both sides of the equation.

$y = - 6 + 8$

Step 2.2.2

Add $- 6$ and $8$ .

$y = 2$

Step 3

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

$4 (- 1) + y = - 6$

Step 4

Solve the equation for $y$ .

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Step 4.1

Multiply $4$ by $- 1$ .

$- 4 + y = - 6$

Step 4.2

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

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Step 4.2.1

Add $4$ to both sides of the equation.

$y = - 6 + 4$

Step 4.2.2

Add $- 6$ and $4$ .

$y = - 2$

Step 5

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

$4 (0) + y = - 6$

Step 6

Simplify $4 (0) + y$ .

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Step 6.1

Multiply $4$ by $0$ .

$0 + y = - 6$

Step 6.2

Add $0$ and $y$ .

$y = - 6$

Step 7

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

$4 (1) + y = - 6$

Step 8

Solve the equation for $y$ .

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Step 8.1

Multiply $4$ by $1$ .

$4 + y = - 6$

Step 8.2

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

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Step 8.2.1

Subtract $4$ from both sides of the equation.

$y = - 6 - 4$

Step 8.2.2

Subtract $4$ from $- 6$ .

$y = - 10$

Step 9

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

$4 (2) + y = - 6$

Step 10

Solve the equation for $y$ .

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Step 10.1

Multiply $4$ by $2$ .

$8 + y = - 6$

Step 10.2

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

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Step 10.2.1

Subtract $8$ from both sides of the equation.

$y = - 6 - 8$

Step 10.2.2

Subtract $8$ from $- 6$ .

$y = - 14$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 2 \\ - 1 & - 2 \\ 0 & - 6 \\ 1 & - 10 \\ 2 & - 14 \end{array}$

Step 12