x+3y=9

Subtract x from both sides of the equation.

3y=9-x

Divide each term by 3 and simplify.

Divide each term in 3y=9-x by 3.

3y3=93+-x3

Cancel the common factor of 3.

Cancel the common factor.

3y3=93+-x3

Divide y by 1.

y=93+-x3

y=93+-x3

Simplify each term.

Divide 9 by 3.

y=3+-x3

Move the negative in front of the fraction.

y=3-x3

y=3-x3

y=3-x3

y=3-x3

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

Remove parentheses.

y=3-03

Simplify 3-03.

Simplify each term.

Divide 0 by 3.

y=3-0

Multiply -1 by 0.

y=3+0

y=3+0

Add 3 and 0.

y=3

y=3

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

(0,3)

(0,3)

Remove parentheses.

y=3-13

Simplify 3-13.

To write 3 as a fraction with a common denominator, multiply by 33.

y=3⋅33-13

Combine 3 and 33.

y=3⋅33-13

Combine the numerators over the common denominator.

y=3⋅3-13

Simplify the numerator.

Multiply 3 by 3.

y=9-13

Subtract 1 from 9.

y=83

y=83

y=83

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

(1,83)

(1,83)

Remove parentheses.

y=3-23

Simplify 3-23.

To write 3 as a fraction with a common denominator, multiply by 33.

y=3⋅33-23

Combine 3 and 33.

y=3⋅33-23

Combine the numerators over the common denominator.

y=3⋅3-23

Simplify the numerator.

Multiply 3 by 3.

y=9-23

Subtract 2 from 9.

y=73

y=73

y=73

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

(2,73)

(2,73)

These are three possible solutions to the equation.

(0,3),(1,83),(2,73)

Find Three Ordered Pair Solutions x+3y=9