2x+4y=14

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.

Remove parentheses.

y=72-02

Simplify 72-02.

Combine the numerators over the common denominator.

y=7+02

Add 7 and 0.

y=72

y=72

Use the x and y values to form the ordered pair.

(0,72)

(0,72)

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)

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