9x-8y=12

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.

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

Add -32 and 0.

y=-32

y=-32

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

(0,-32)

(0,-32)

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

Add -12 and 9.

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)

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

Add -6 and 9.

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