# Find Three Ordered Pair Solutions 8y=2+x 8y=2+x
Divide each term by 8 and simplify.
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.
Choose 0 to substitute in for x to find the ordered pair.
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)
Choose 1 to substitute in for x to find the ordered pair.
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)
Choose 2 to substitute in for x to find the ordered pair.
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)
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