# Find Three Ordered Pair Solutions 2x+3y=4 2x+3y=4
Solve the equation for y.
Subtract 2x from both sides of the equation.
3y=4-2x
Divide each term by 3 and simplify.
Divide each term in 3y=4-2x by 3.
3y3=43+-2×3
Cancel the common factor of 3.
Cancel the common factor.
3y3=43+-2×3
Divide y by 1.
y=43+-2×3
y=43+-2×3
Move the negative in front of the fraction.
y=43-2×3
y=43-2×3
y=43-2×3
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=43-2(0)3
Simplify 43-2(0)3.
Simplify each term.
Cancel the common factor of 0 and 3.
Factor 3 out of 2(0).
y=43-3(2⋅(0))3
Cancel the common factors.
Factor 3 out of 3.
y=43-3(2⋅(0))3(1)
Cancel the common factor.
y=43-3(2⋅(0))3⋅1
Rewrite the expression.
y=43-2⋅(0)1
Divide 2⋅(0) by 1.
y=43-(2⋅(0))
y=43-(2⋅(0))
y=43-(2⋅(0))
Multiply 2 by 0.
y=43-0
Multiply -1 by 0.
y=43+0
y=43+0
y=43
y=43
Use the x and y values to form the ordered pair.
(0,43)
(0,43)
Choose 1 to substitute in for x to find the ordered pair.
Remove parentheses.
y=43-2(1)3
Simplify 43-2(1)3.
Multiply 2 by 1.
y=43-23
Combine the numerators over the common denominator.
y=4-23
Subtract 2 from 4.
y=23
y=23
Use the x and y values to form the ordered pair.
(1,23)
(1,23)
Choose 2 to substitute in for x to find the ordered pair.
Remove parentheses.
y=43-2(2)3
Simplify 43-2(2)3.
Multiply 2 by 2.
y=43-43
Combine the numerators over the common denominator.
y=4-43
Subtract 4 from 4.
y=03
Divide 0 by 3.
y=0
y=0
Use the x and y values to form the ordered pair.
(2,0)
(2,0)
These are three possible solutions to the equation.
(0,43),(1,23),(2,0)
Find Three Ordered Pair Solutions 2x+3y=4     