2x+5y=34

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.

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)

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)

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)

Find Three Ordered Pair Solutions 2x+5y=34