# Find Three Ordered Pair Solutions 2x+3y=8

2x+3y=8
Solve the equation for y.
Subtract 2x from both sides of the equation.
3y=8-2x
Divide each term by 3 and simplify.
Divide each term in 3y=8-2x by 3.
3y3=83+-2×3
Cancel the common factor of 3.
Cancel the common factor.
3y3=83+-2×3
Divide y by 1.
y=83+-2×3
y=83+-2×3
Move the negative in front of the fraction.
y=83-2×3
y=83-2×3
y=83-2×3
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.
Remove parentheses.
y=83-2(0)3
Simplify 83-2(0)3.
Simplify each term.
Cancel the common factor of 0 and 3.
Factor 3 out of 2(0).
y=83-3(2⋅(0))3
Cancel the common factors.
Factor 3 out of 3.
y=83-3(2⋅(0))3(1)
Cancel the common factor.
y=83-3(2⋅(0))3⋅1
Rewrite the expression.
y=83-2⋅(0)1
Divide 2⋅(0) by 1.
y=83-(2⋅(0))
y=83-(2⋅(0))
y=83-(2⋅(0))
Multiply 2 by 0.
y=83-0
Multiply -1 by 0.
y=83+0
y=83+0
y=83
y=83
Use the x and y values to form the ordered pair.
(0,83)
(0,83)
Choose 1 to substitute in for x to find the ordered pair.
Remove parentheses.
y=83-2(1)3
Simplify 83-2(1)3.
Multiply 2 by 1.
y=83-23
Combine the numerators over the common denominator.
y=8-23
Subtract 2 from 8.
y=63
Divide 6 by 3.
y=2
y=2
Use the x and y values to form the ordered pair.
(1,2)
(1,2)
Choose 2 to substitute in for x to find the ordered pair.
Remove parentheses.
y=83-2(2)3
Simplify 83-2(2)3.
Multiply 2 by 2.
y=83-43
Combine the numerators over the common denominator.
y=8-43
Subtract 4 from 8.
y=43
y=43
Use the x and y values to form the ordered pair.
(2,43)
(2,43)
These are three possible solutions to the equation.
(0,83),(1,2),(2,43)
Find Three Ordered Pair Solutions 2x+3y=8