# Find Three Ordered Pair Solutions 4x-3y=12

4x-3y=12
Solve the equation for y.
Subtract 4x from both sides of the equation.
-3y=12-4x
Divide each term by -3 and simplify.
Divide each term in -3y=12-4x by -3.
-3y-3=12-3+-4x-3
Cancel the common factor of -3.
Cancel the common factor.
-3y-3=12-3+-4x-3
Divide y by 1.
y=12-3+-4x-3
y=12-3+-4x-3
Simplify each term.
Divide 12 by -3.
y=-4+-4x-3
Dividing two negative values results in a positive value.
y=-4+4×3
y=-4+4×3
y=-4+4×3
y=-4+4×3
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=-4+4(0)3
Simplify -4+4(0)3.
Multiply 4 by 0.
y=-4+03
Divide 0 by 3.
y=-4+0
y=-4
y=-4
Use the x and y values to form the ordered pair.
(0,-4)
(0,-4)
Choose 1 to substitute in for x to find the ordered pair.
Remove parentheses.
y=-4+4(1)3
Simplify -4+4(1)3.
Multiply 4 by 1.
y=-4+43
To write -4 as a fraction with a common denominator, multiply by 33.
y=-4⋅33+43
Combine -4 and 33.
y=-4⋅33+43
Combine the numerators over the common denominator.
y=-4⋅3+43
Simplify the numerator.
Multiply -4 by 3.
y=-12+43
y=-83
y=-83
Move the negative in front of the fraction.
y=-83
y=-83
Use the x and y values to form the ordered pair.
(1,-83)
(1,-83)
Choose 2 to substitute in for x to find the ordered pair.
Remove parentheses.
y=-4+4(2)3
Simplify -4+4(2)3.
Multiply 4 by 2.
y=-4+83
To write -4 as a fraction with a common denominator, multiply by 33.
y=-4⋅33+83
Combine -4 and 33.
y=-4⋅33+83
Combine the numerators over the common denominator.
y=-4⋅3+83
Simplify the numerator.
Multiply -4 by 3.
y=-12+83
y=-43
y=-43
Move the negative in front of the fraction.
y=-43
y=-43
Use the x and y values to form the ordered pair.
(2,-43)
(2,-43)
These are three possible solutions to the equation.
(0,-4),(1,-83),(2,-43)
Find Three Ordered Pair Solutions 4x-3y=12