# Find Three Ordered Pair Solutions 9x-8y=12

9x-8y=12
Solve the equation for y.
Subtract 9x from both sides of the equation.
-8y=12-9x
Divide each term by -8 and simplify.
Divide each term in -8y=12-9x by -8.
-8y-8=12-8+-9x-8
Cancel the common factor of -8.
Cancel the common factor.
-8y-8=12-8+-9x-8
Divide y by 1.
y=12-8+-9x-8
y=12-8+-9x-8
Simplify each term.
Cancel the common factor of 12 and -8.
Factor 4 out of 12.
y=4(3)-8+-9x-8
Cancel the common factors.
Factor 4 out of -8.
y=4⋅34⋅-2+-9x-8
Cancel the common factor.
y=4⋅34⋅-2+-9x-8
Rewrite the expression.
y=3-2+-9x-8
y=3-2+-9x-8
y=3-2+-9x-8
Move the negative in front of the fraction.
y=-32+-9x-8
Dividing two negative values results in a positive value.
y=-32+9×8
y=-32+9×8
y=-32+9×8
y=-32+9×8
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=-32+9(0)8
Simplify -32+9(0)8.
Multiply 9 by 0.
y=-32+08
Divide 0 by 8.
y=-32+0
y=-32
y=-32
Use the x and y values to form the ordered pair.
(0,-32)
(0,-32)
Choose 1 to substitute in for x to find the ordered pair.
Remove parentheses.
y=-32+9(1)8
Simplify -32+9(1)8.
Multiply 9 by 1.
y=-32+98
To write -32 as a fraction with a common denominator, multiply by 44.
y=-32⋅44+98
Write each expression with a common denominator of 8, by multiplying each by an appropriate factor of 1.
Multiply 32 and 44.
y=-3⋅42⋅4+98
Multiply 2 by 4.
y=-3⋅48+98
y=-3⋅48+98
Combine the numerators over the common denominator.
y=-3⋅4+98
Simplify the numerator.
Multiply -3 by 4.
y=-12+98
y=-38
y=-38
Move the negative in front of the fraction.
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=-32+9(2)8
Simplify -32+9(2)8.
Multiply 9 by 2.
y=-32+188
Cancel the common factor of 18 and 8.
Factor 2 out of 18.
y=-32+2(9)8
Cancel the common factors.
Factor 2 out of 8.
y=-32+2⋅92⋅4
Cancel the common factor.
y=-32+2⋅92⋅4
Rewrite the expression.
y=-32+94
y=-32+94
y=-32+94
To write -32 as a fraction with a common denominator, multiply by 22.
y=-32⋅22+94
Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.
Multiply 32 and 22.
y=-3⋅22⋅2+94
Multiply 2 by 2.
y=-3⋅24+94
y=-3⋅24+94
Combine the numerators over the common denominator.
y=-3⋅2+94
Simplify the numerator.
Multiply -3 by 2.
y=-6+94
y=34
y=34
y=34
Use the x and y values to form the ordered pair.
(2,34)
(2,34)
These are three possible solutions to the equation.
(0,-32),(1,-38),(2,34)
Find Three Ordered Pair Solutions 9x-8y=12