7x-8y=12

Subtract 7x from both sides of the equation.

-8y=12-7x

Divide each term by -8 and simplify.

Divide each term in -8y=12-7x by -8.

-8y-8=12-8+-7x-8

Cancel the common factor of -8.

Cancel the common factor.

-8y-8=12-8+-7x-8

Divide y by 1.

y=12-8+-7x-8

y=12-8+-7x-8

Simplify each term.

Cancel the common factor of 12 and -8.

Factor 4 out of 12.

y=4(3)-8+-7x-8

Cancel the common factors.

Factor 4 out of -8.

y=4⋅34⋅-2+-7x-8

Cancel the common factor.

y=4⋅34⋅-2+-7x-8

Rewrite the expression.

y=3-2+-7x-8

y=3-2+-7x-8

y=3-2+-7x-8

Move the negative in front of the fraction.

y=-32+-7x-8

Dividing two negative values results in a positive value.

y=-32+7×8

y=-32+7×8

y=-32+7×8

y=-32+7×8

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

Remove parentheses.

y=-32+7(0)8

Simplify -32+7(0)8.

Multiply 7 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+7(1)8

Simplify -32+7(1)8.

Multiply 7 by 1.

y=-32+78

To write -32 as a fraction with a common denominator, multiply by 44.

y=-32⋅44+78

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+78

Multiply 2 by 4.

y=-3⋅48+78

y=-3⋅48+78

Combine the numerators over the common denominator.

y=-3⋅4+78

Simplify the numerator.

Multiply -3 by 4.

y=-12+78

Add -12 and 7.

y=-58

y=-58

Move the negative in front of the fraction.

y=-58

y=-58

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

(1,-58)

(1,-58)

Remove parentheses.

y=-32+7(2)8

Simplify -32+7(2)8.

Multiply 7 by 2.

y=-32+148

Cancel the common factor of 14 and 8.

Factor 2 out of 14.

y=-32+2(7)8

Cancel the common factors.

Factor 2 out of 8.

y=-32+2⋅72⋅4

Cancel the common factor.

y=-32+2⋅72⋅4

Rewrite the expression.

y=-32+74

y=-32+74

y=-32+74

To write -32 as a fraction with a common denominator, multiply by 22.

y=-32⋅22+74

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+74

Multiply 2 by 2.

y=-3⋅24+74

y=-3⋅24+74

Combine the numerators over the common denominator.

y=-3⋅2+74

Simplify the numerator.

Multiply -3 by 2.

y=-6+74

Add -6 and 7.

y=14

y=14

y=14

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

(2,14)

(2,14)

These are three possible solutions to the equation.

(0,-32),(1,-58),(2,14)

Find Three Ordered Pair Solutions 7x-8y=12