# Find Three Ordered Pair Solutions 7x-8y=12 7x-8y=12
Solve the equation for y.
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.
Choose 0 to substitute in for x to find the ordered pair.
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)
Choose 1 to substitute in for x to find the ordered pair.
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)
Choose 2 to substitute in for x to find the ordered pair.
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)
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