Find Three Ordered Pair Solutions y-3=5(x-9)

$y - 3 = 5 (x - 9)$

Step 1

Solve the equation for $y$ .

Simplify $5 (x - 9)$ .

Rewrite.

$y - 3 = 0 + 0 + 5 (x - 9)$

Simplify by adding zeros.

$y - 3 = 5 (x - 9)$

Apply the distributive property.

$y - 3 = 5 x + 5 \cdot - 9$

Multiply $5$ by $- 9$ .

$y - 3 = 5 x - 45$

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

Add $3$ to both sides of the equation.

$y = 5 x - 45 + 3$

Add $- 45$ and $3$ .

$y = 5 x - 42$

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.

$y = 5 (0) - 42$

Simplify $5 (0) - 42$ .

Multiply $5$ by $0$ .

$y = 0 - 42$

Subtract $42$ from $0$ .

$y = - 42$

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

$(0, - 42)$

Step 4

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

Remove parentheses.

$y = 5 (1) - 42$

Simplify $5 (1) - 42$ .

Multiply $5$ by $1$ .

$y = 5 - 42$

Subtract $42$ from $5$ .

$y = - 37$

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

$(1, - 37)$

Step 5

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

Remove parentheses.

$y = 5 (2) - 42$

Simplify $5 (2) - 42$ .

Multiply $5$ by $2$ .

$y = 10 - 42$

Subtract $42$ from $10$ .

$y = - 32$

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

$(2, - 32)$

Step 6

These are three possible solutions to the equation.

$(0, - 42), (1, - 37), (2, - 32)$

Step 7

Find Three Ordered Pair Solutions y-3=5(x-9)

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