Find Three Ordered Pair Solutions y-3=2(x+1)

$y - 3 = 2 (x + 1)$

Step 1

Solve the equation for $y$ .

Simplify $2 (x + 1)$ .

Rewrite.

$y - 3 = 0 + 0 + 2 (x + 1)$

Simplify by adding zeros.

$y - 3 = 2 (x + 1)$

Apply the distributive property.

$y - 3 = 2 x + 2 \cdot 1$

Multiply $2$ by $1$ .

$y - 3 = 2 x + 2$

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

Add $3$ to both sides of the equation.

$y = 2 x + 2 + 3$

Add $2$ and $3$ .

$y = 2 x + 5$

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.

Remove parentheses.

$y = 2 (0) + 5$

Simplify $2 (0) + 5$ .

Multiply $2$ by $0$ .

$y = 0 + 5$

Add $0$ and $5$ .

$y = 5$

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

$(0, 5)$

Step 4

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

Remove parentheses.

$y = 2 (1) + 5$

Simplify $2 (1) + 5$ .

Multiply $2$ by $1$ .

$y = 2 + 5$

Add $2$ and $5$ .

$y = 7$

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

$(1, 7)$

Step 5

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

Remove parentheses.

$y = 2 (2) + 5$

Simplify $2 (2) + 5$ .

Multiply $2$ by $2$ .

$y = 4 + 5$

Add $4$ and $5$ .

$y = 9$

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

$(2, 9)$

Step 6

These are three possible solutions to the equation.

$(0, 5), (1, 7), (2, 9)$

Step 7

Find Three Ordered Pair Solutions y-3=2(x+1)

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