8y=2+x

Divide each term in 8y=2+x by 8.

8y8=28+x8

Cancel the common factor of 8.

Cancel the common factor.

8y8=28+x8

Divide y by 1.

y=28+x8

y=28+x8

Cancel the common factor of 2 and 8.

Factor 2 out of 2.

y=2(1)8+x8

Cancel the common factors.

Factor 2 out of 8.

y=2⋅12⋅4+x8

Cancel the common factor.

y=2⋅12⋅4+x8

Rewrite the expression.

y=14+x8

y=14+x8

y=14+x8

y=14+x8

Choose any value for x that is in the domain to plug into the equation.

Remove parentheses.

y=14+08

Simplify 14+08.

Divide 0 by 8.

y=14+0

Add 14 and 0.

y=14

y=14

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

(0,14)

(0,14)

Remove parentheses.

y=14+18

Simplify 14+18.

To write 14 as a fraction with a common denominator, multiply by 22.

y=14⋅22+18

Write each expression with a common denominator of 8, by multiplying each by an appropriate factor of 1.

Multiply 14 and 22.

y=24⋅2+18

Multiply 4 by 2.

y=28+18

y=28+18

Combine the numerators over the common denominator.

y=2+18

Add 2 and 1.

y=38

y=38

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

(1,38)

(1,38)

Remove parentheses.

y=14+28

Simplify 14+28.

Cancel the common factor of 2 and 8.

Factor 2 out of 2.

y=14+2(1)8

Cancel the common factors.

Factor 2 out of 8.

y=14+2⋅12⋅4

Cancel the common factor.

y=14+2⋅12⋅4

Rewrite the expression.

y=14+14

y=14+14

y=14+14

Combine the numerators over the common denominator.

y=1+14

Add 1 and 1.

y=24

Cancel the common factor of 2 and 4.

Factor 2 out of 2.

y=2(1)4

Cancel the common factors.

Factor 2 out of 4.

y=2⋅12⋅2

Cancel the common factor.

y=2⋅12⋅2

Rewrite the expression.

y=12

y=12

y=12

y=12

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

(2,12)

(2,12)

These are three possible solutions to the equation.

(0,14),(1,38),(2,12)

Find Three Ordered Pair Solutions 8y=2+x