Find Three Ordered Pair Solutions 3Y-2=3(X-3)

$3 Y - 2 = 3 (X - 3)$

Solve the equation for $y$ .

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Simplify $3 (X - 3)$ .

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Apply the distributive property.

$3 Y - 2 = 3 X + 3 \cdot - 3$

Multiply $3$ by $- 3$ .

$3 Y - 2 = 3 X - 9$

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

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Add $2$ to both sides of the equation.

$3 Y = 3 X - 9 + 2$

Add $- 9$ and $2$ .

$3 Y = 3 X - 7$

Divide each term by $3$ and simplify.

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Divide each term in $3 Y = 3 X - 7$ by $3$ .

$\frac{3 Y}{3} = \frac{3 X}{3} + \frac{- 7}{3}$

Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{3 Y}{3} = \frac{3 X}{3} + \frac{- 7}{3}$

Divide $Y$ by $1$ .

$Y = \frac{3 X}{3} + \frac{- 7}{3}$

Simplify each term.

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Cancel the common factor of $3$ .

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Cancel the common factor.

$Y = \frac{3 X}{3} + \frac{- 7}{3}$

Divide $X$ by $1$ .

$Y = X + \frac{- 7}{3}$

Move the negative in front of the fraction.

$Y = X - \frac{7}{3}$

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

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

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Subtract $\frac{7}{3}$ from $0$ .

$Y = - \frac{7}{3}$

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

$(0, - \frac{7}{3})$

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

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Simplify $(1) - \frac{7}{3}$ .

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Write $1$ as a fraction with a common denominator.

$Y = \frac{3}{3} - \frac{7}{3}$

Combine the numerators over the common denominator.

$Y = \frac{3 - 7}{3}$

Subtract $7$ from $3$ .

$Y = \frac{- 4}{3}$

Move the negative in front of the fraction.

$Y = - \frac{4}{3}$

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

$(1, - \frac{4}{3})$

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

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Simplify $(2) - \frac{7}{3}$ .

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To write $2$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$Y = 2 \cdot \frac{3}{3} - \frac{7}{3}$

Combine $2$ and $\frac{3}{3}$ .

$Y = \frac{2 \cdot 3}{3} - \frac{7}{3}$

Combine the numerators over the common denominator.

$Y = \frac{2 \cdot 3 - 7}{3}$

Simplify the numerator.

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Multiply $2$ by $3$ .

$Y = \frac{6 - 7}{3}$

Subtract $7$ from $6$ .

$Y = \frac{- 1}{3}$

Move the negative in front of the fraction.

$Y = - \frac{1}{3}$

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

$(2, - \frac{1}{3})$

These are three possible solutions to the equation.

$(0, - \frac{7}{3}), (1, - \frac{4}{3}), (2, - \frac{1}{3})$

Find Three Ordered Pair Solutions 3Y-2=3(X-3)

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