Algebra Examples

$y + 268 = 12 (x + 20)$

Step 1

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

$y + 268 = 12 ((- 2) + 20)$

Step 2

Solve the equation for $y$ .

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Step 2.1

Simplify $12 ((- 2) + 20)$ .

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Step 2.1.1

Rewrite.

$y + 268 = 0 + 0 + 12 ((- 2) + 20)$

Step 2.1.2

Simplify by adding zeros.

$y + 268 = 12 ((- 2) + 20)$

Step 2.1.3

Add $- 2$ and $20$ .

$y + 268 = 12 \cdot 18$

Step 2.1.4

Multiply $12$ by $18$ .

$y + 268 = 216$

Step 2.2

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

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Step 2.2.1

Subtract $268$ from both sides of the equation.

$y = 216 - 268$

Step 2.2.2

Subtract $268$ from $216$ .

$y = - 52$

Step 3

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

$y + 268 = 12 ((- 1) + 20)$

Step 4

Solve the equation for $y$ .

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Step 4.1

Simplify $12 ((- 1) + 20)$ .

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Step 4.1.1

Rewrite.

$y + 268 = 0 + 0 + 12 ((- 1) + 20)$

Step 4.1.2

Simplify by adding zeros.

$y + 268 = 12 ((- 1) + 20)$

Step 4.1.3

Add $- 1$ and $20$ .

$y + 268 = 12 \cdot 19$

Step 4.1.4

Multiply $12$ by $19$ .

$y + 268 = 228$

Step 4.2

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

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Step 4.2.1

Subtract $268$ from both sides of the equation.

$y = 228 - 268$

Step 4.2.2

Subtract $268$ from $228$ .

$y = - 40$

Step 5

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

$y + 268 = 12 ((0) + 20)$

Step 6

Solve the equation for $y$ .

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Step 6.1

Simplify $12 ((0) + 20)$ .

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Step 6.1.1

Add $0$ and $20$ .

$y + 268 = 12 \cdot 20$

Step 6.1.2

Multiply $12$ by $20$ .

$y + 268 = 240$

Step 6.2

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

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Step 6.2.1

Subtract $268$ from both sides of the equation.

$y = 240 - 268$

Step 6.2.2

Subtract $268$ from $240$ .

$y = - 28$

Step 7

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

$y + 268 = 12 ((1) + 20)$

Step 8

Solve the equation for $y$ .

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Step 8.1

Simplify $12 ((1) + 20)$ .

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Step 8.1.1

Rewrite.

$y + 268 = 0 + 0 + 12 ((1) + 20)$

Step 8.1.2

Simplify by adding zeros.

$y + 268 = 12 ((1) + 20)$

Step 8.1.3

Add $1$ and $20$ .

$y + 268 = 12 \cdot 21$

Step 8.1.4

Multiply $12$ by $21$ .

$y + 268 = 252$

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 $268$ from both sides of the equation.

$y = 252 - 268$

Step 8.2.2

Subtract $268$ from $252$ .

$y = - 16$

Step 9

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

$y + 268 = 12 ((2) + 20)$

Step 10

Solve the equation for $y$ .

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Step 10.1

Simplify $12 ((2) + 20)$ .

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Step 10.1.1

Rewrite.

$y + 268 = 0 + 0 + 12 ((2) + 20)$

Step 10.1.2

Simplify by adding zeros.

$y + 268 = 12 ((2) + 20)$

Step 10.1.3

Add $2$ and $20$ .

$y + 268 = 12 \cdot 22$

Step 10.1.4

Multiply $12$ by $22$ .

$y + 268 = 264$

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 $268$ from both sides of the equation.

$y = 264 - 268$

Step 10.2.2

Subtract $268$ from $264$ .

$y = - 4$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 52 \\ - 1 & - 40 \\ 0 & - 28 \\ 1 & - 16 \\ 2 & - 4 \end{array}$

Step 12