Algebra Examples

y = 3 x + 14

$y = 3 x + 14$

y = x

$y = x$

Step 1

Eliminate the equal sides of each equation and combine.

3 x + 14 = x

$3 x + 14 = x$

Step 2

Solve

3 x + 14 = x

$3 x + 14 = x$ for

x

$x$ .

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Step 2.1

Move all terms containing

x

$x$ to the left side of the equation.

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Step 2.1.1

Subtract

x

$x$ from both sides of the equation.

3 x + 14 - x = 0

$3 x + 14 - x = 0$

Step 2.1.2

Subtract

x

$x$ from

3 x

$3 x$ .

2 x + 14 = 0

$2 x + 14 = 0$

2 x + 14 = 0

$2 x + 14 = 0$

Step 2.2

Subtract

14

$14$ from both sides of the equation.

2 x = - 14

$2 x = - 14$

Step 2.3

Divide each term in

2 x = - 14

$2 x = - 14$ by

2

$2$ and simplify.

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Step 2.3.1

Divide each term in

2 x = - 14

$2 x = - 14$ by

2

$2$ .

\frac{2 x}{2} = \frac{- 14}{2}

$\frac{2 x}{2} = \frac{- 14}{2}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of

2

$2$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 14}{2}$

Step 2.3.2.1.2

Divide

$x$ by

$1$ .

$x = \frac{- 14}{2}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Divide

$- 14$ by

$2$ .

$x = - 7$

Step 3

Evaluate

$y$ when

$x = - 7$ .

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Step 3.1

Substitute

$- 7$ for

$x$ .

$y = - 7$

Step 3.2

Remove parentheses.

$y = - 7$

Step 4

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(- 7, - 7)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(- 7, - 7)$

Equation Form:

$x = - 7, y = - 7$

Step 6

$y = 3 x + 14 y = x$

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