# Find Three Ordered Pair Solutions x+3y=9 x+3y=9
Solve the equation for y.
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.
Choose 0 to substitute in for x to find the ordered pair.
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
y=3
y=3
Use the x and y values to form the ordered pair.
(0,3)
(0,3)
Choose 1 to substitute in for x to find the ordered pair.
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)
Choose 2 to substitute in for x to find the ordered pair.
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     