Algebra Examples

$y + 5 = 2 (x + 1)$

Step 1

Solve the equation for $y$ .

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Step 1.1

Simplify $2 (x + 1)$ .

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Step 1.1.1

Rewrite.

$y + 5 = 0 + 0 + 2 (x + 1)$

Step 1.1.2

Simplify by adding zeros.

$y + 5 = 2 (x + 1)$

Step 1.1.3

Apply the distributive property.

$y + 5 = 2 x + 2 \cdot 1$

Step 1.1.4

Multiply $2$ by $1$ .

$y + 5 = 2 x + 2$

Step 1.2

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

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Step 1.2.1

Subtract $5$ from both sides of the equation.

$y = 2 x + 2 - 5$

Step 1.2.2

Subtract $5$ from $2$ .

$y = 2 x - 3$

Step 2

Choose any value for $x$ that is in the domain to plug into the equation.

Step 3

Choose $0$ to substitute in for $x$ to find the ordered pair.

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Step 3.1

Remove parentheses.

$y = 2 (0) - 3$

Step 3.2

Simplify $2 (0) - 3$ .

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Step 3.2.1

Multiply $2$ by $0$ .

$y = 0 - 3$

Step 3.2.2

Subtract $3$ from $0$ .

$y = - 3$

Step 3.3

Use the $x$ and $y$ values to form the ordered pair.

$(0, - 3)$

Step 4

Choose $1$ to substitute in for $x$ to find the ordered pair.

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Step 4.1

Remove parentheses.

$y = 2 (1) - 3$

Step 4.2

Simplify $2 (1) - 3$ .

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Step 4.2.1

Multiply $2$ by $1$ .

$y = 2 - 3$

Step 4.2.2

Subtract $3$ from $2$ .

$y = - 1$

Step 4.3

Use the $x$ and $y$ values to form the ordered pair.

$(1, - 1)$

Step 5

Choose $2$ to substitute in for $x$ to find the ordered pair.

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Step 5.1

Remove parentheses.

$y = 2 (2) - 3$

Step 5.2

Simplify $2 (2) - 3$ .

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Step 5.2.1

Multiply $2$ by $2$ .

$y = 4 - 3$

Step 5.2.2

Subtract $3$ from $4$ .

$y = 1$

Step 5.3

Use the $x$ and $y$ values to form the ordered pair.

$(2, 1)$

Step 6

These are three possible solutions to the equation.

$(0, - 3), (1, - 1), (2, 1)$

Step 7