# Find Three Ordered Pair Solutions 2x+4y=14 2x+4y=14
Solve the equation for y.
Subtract 2x from both sides of the equation.
4y=14-2x
Divide each term by 4 and simplify.
Divide each term in 4y=14-2x by 4.
4y4=144+-2×4
Cancel the common factor of 4.
Cancel the common factor.
4y4=144+-2×4
Divide y by 1.
y=144+-2×4
y=144+-2×4
Simplify each term.
Cancel the common factor of 14 and 4.
Factor 2 out of 14.
y=2(7)4+-2×4
Cancel the common factors.
Factor 2 out of 4.
y=2⋅72⋅2+-2×4
Cancel the common factor.
y=2⋅72⋅2+-2×4
Rewrite the expression.
y=72+-2×4
y=72+-2×4
y=72+-2×4
Cancel the common factor of -2 and 4.
Factor 2 out of -2x.
y=72+2(-x)4
Cancel the common factors.
Factor 2 out of 4.
y=72+2(-x)2(2)
Cancel the common factor.
y=72+2(-x)2⋅2
Rewrite the expression.
y=72+-x2
y=72+-x2
y=72+-x2
Move the negative in front of the fraction.
y=72-x2
y=72-x2
y=72-x2
y=72-x2
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=72-02
Simplify 72-02.
Combine the numerators over the common denominator.
y=7+02
y=72
y=72
Use the x and y values to form the ordered pair.
(0,72)
(0,72)
Choose 1 to substitute in for x to find the ordered pair.
Remove parentheses.
y=72-12
Simplify 72-12.
Combine the numerators over the common denominator.
y=7-12
Subtract 1 from 7.
y=62
Divide 6 by 2.
y=3
y=3
Use the x and y values to form the ordered pair.
(1,3)
(1,3)
Choose 2 to substitute in for x to find the ordered pair.
Remove parentheses.
y=72-22
Simplify 72-22.
Combine the numerators over the common denominator.
y=7-22
Subtract 2 from 7.
y=52
y=52
Use the x and y values to form the ordered pair.
(2,52)
(2,52)
These are three possible solutions to the equation.
(0,72),(1,3),(2,52)
Find Three Ordered Pair Solutions 2x+4y=14     