# Find Three Ordered Pair Solutions 2x+5y=34 2x+5y=34
Solve the equation for y.
Subtract 2x from both sides of the equation.
5y=34-2x
Divide each term by 5 and simplify.
Divide each term in 5y=34-2x by 5.
5y5=345+-2×5
Cancel the common factor of 5.
Cancel the common factor.
5y5=345+-2×5
Divide y by 1.
y=345+-2×5
y=345+-2×5
Move the negative in front of the fraction.
y=345-2×5
y=345-2×5
y=345-2×5
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=345-2(0)5
Simplify 345-2(0)5.
Simplify each term.
Cancel the common factor of 0 and 5.
Factor 5 out of 2(0).
y=345-5(2⋅(0))5
Cancel the common factors.
Factor 5 out of 5.
y=345-5(2⋅(0))5(1)
Cancel the common factor.
y=345-5(2⋅(0))5⋅1
Rewrite the expression.
y=345-2⋅(0)1
Divide 2⋅(0) by 1.
y=345-(2⋅(0))
y=345-(2⋅(0))
y=345-(2⋅(0))
Multiply 2 by 0.
y=345-0
Multiply -1 by 0.
y=345+0
y=345+0
Add 345 and 0.
y=345
y=345
Use the x and y values to form the ordered pair.
(0,345)
(0,345)
Choose 1 to substitute in for x to find the ordered pair.
Remove parentheses.
y=345-2(1)5
Simplify 345-2(1)5.
Multiply 2 by 1.
y=345-25
Combine the numerators over the common denominator.
y=34-25
Subtract 2 from 34.
y=325
y=325
Use the x and y values to form the ordered pair.
(1,325)
(1,325)
Choose 2 to substitute in for x to find the ordered pair.
Remove parentheses.
y=345-2(2)5
Simplify 345-2(2)5.
Multiply 2 by 2.
y=345-45
Combine the numerators over the common denominator.
y=34-45
Subtract 4 from 34.
y=305
Divide 30 by 5.
y=6
y=6
Use the x and y values to form the ordered pair.
(2,6)
(2,6)
These are three possible solutions to the equation.
(0,345),(1,325),(2,6)
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