Algebra Examples

$y + 1 = 3 (x - 4)$

Step 1

Solve the equation for $y$ .

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Step 1.1

Simplify $3 (x - 4)$ .

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Step 1.1.1

Rewrite.

$y + 1 = 0 + 0 + 3 (x - 4)$

Step 1.1.2

Simplify by adding zeros.

$y + 1 = 3 (x - 4)$

Step 1.1.3

Apply the distributive property.

$y + 1 = 3 x + 3 \cdot - 4$

Step 1.1.4

Multiply $3$ by $- 4$ .

$y + 1 = 3 x - 12$

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 $1$ from both sides of the equation.

$y = 3 x - 12 - 1$

Step 1.2.2

Subtract $1$ from $- 12$ .

$y = 3 x - 13$

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.

$y = 3 (0) - 13$

Step 3.2

Simplify $3 (0) - 13$ .

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Step 3.2.1

Multiply $3$ by $0$ .

$y = 0 - 13$

Step 3.2.2

Subtract $13$ from $0$ .

$y = - 13$

Step 3.3

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

$(0, - 13)$

Step 4

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

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Step 4.1

Remove parentheses.

$y = 3 (1) - 13$

Step 4.2

Simplify $3 (1) - 13$ .

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Step 4.2.1

Multiply $3$ by $1$ .

$y = 3 - 13$

Step 4.2.2

Subtract $13$ from $3$ .

$y = - 10$

Step 4.3

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

$(1, - 10)$

Step 5

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

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Step 5.1

Remove parentheses.

$y = 3 (2) - 13$

Step 5.2

Simplify $3 (2) - 13$ .

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Step 5.2.1

Multiply $3$ by $2$ .

$y = 6 - 13$

Step 5.2.2

Subtract $13$ from $6$ .

$y = - 7$

Step 5.3

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

$(2, - 7)$

Step 6

These are three possible solutions to the equation.

$(0, - 13), (1, - 10), (2, - 7)$

Step 7