# Find Three Ordered Pair Solutions 3x+5y=15 3x+5y=15
Solve the equation for y.
Subtract 3x from both sides of the equation.
5y=15-3x
Divide each term by 5 and simplify.
Divide each term in 5y=15-3x by 5.
5y5=155+-3×5
Cancel the common factor of 5.
Cancel the common factor.
5y5=155+-3×5
Divide y by 1.
y=155+-3×5
y=155+-3×5
Simplify each term.
Divide 15 by 5.
y=3+-3×5
Move the negative in front of the fraction.
y=3-3×5
y=3-3×5
y=3-3×5
y=3-3×5
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=3-3(0)5
Simplify 3-3(0)5.
Simplify each term.
Cancel the common factor of 0 and 5.
Factor 5 out of 3(0).
y=3-5(3⋅(0))5
Cancel the common factors.
Factor 5 out of 5.
y=3-5(3⋅(0))5(1)
Cancel the common factor.
y=3-5(3⋅(0))5⋅1
Rewrite the expression.
y=3-3⋅(0)1
Divide 3⋅(0) by 1.
y=3-(3⋅(0))
y=3-(3⋅(0))
y=3-(3⋅(0))
Multiply 3 by 0.
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)
Choose 1 to substitute in for x to find the ordered pair.
Remove parentheses.
y=3-3(1)5
Simplify 3-3(1)5.
Multiply 3 by 1.
y=3-35
To write 3 as a fraction with a common denominator, multiply by 55.
y=3⋅55-35
Combine 3 and 55.
y=3⋅55-35
Combine the numerators over the common denominator.
y=3⋅5-35
Simplify the numerator.
Multiply 3 by 5.
y=15-35
Subtract 3 from 15.
y=125
y=125
y=125
Use the x and y values to form the ordered pair.
(1,125)
(1,125)
Choose 2 to substitute in for x to find the ordered pair.
Remove parentheses.
y=3-3(2)5
Simplify 3-3(2)5.
Multiply 3 by 2.
y=3-65
To write 3 as a fraction with a common denominator, multiply by 55.
y=3⋅55-65
Combine 3 and 55.
y=3⋅55-65
Combine the numerators over the common denominator.
y=3⋅5-65
Simplify the numerator.
Multiply 3 by 5.
y=15-65
Subtract 6 from 15.
y=95
y=95
y=95
Use the x and y values to form the ordered pair.
(2,95)
(2,95)
These are three possible solutions to the equation.
(0,3),(1,125),(2,95)
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