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

3x-4y=12
Solve the equation for y.
Subtract 3x from both sides of the equation.
-4y=12-3x
Divide each term by -4 and simplify.
Divide each term in -4y=12-3x by -4.
-4y-4=12-4+-3x-4
Cancel the common factor of -4.
Cancel the common factor.
-4y-4=12-4+-3x-4
Divide y by 1.
y=12-4+-3x-4
y=12-4+-3x-4
Simplify each term.
Divide 12 by -4.
y=-3+-3x-4
Dividing two negative values results in a positive value.
y=-3+3×4
y=-3+3×4
y=-3+3×4
y=-3+3×4
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=-3+3(0)4
Simplify -3+3(0)4.
Multiply 3 by 0.
y=-3+04
Divide 0 by 4.
y=-3+0
y=-3
y=-3
Use the x and y values to form the ordered pair.
(0,-3)
(0,-3)
Choose 1 to substitute in for x to find the ordered pair.
Remove parentheses.
y=-3+3(1)4
Simplify -3+3(1)4.
Multiply 3 by 1.
y=-3+34
To write -3 as a fraction with a common denominator, multiply by 44.
y=-3⋅44+34
Combine -3 and 44.
y=-3⋅44+34
Combine the numerators over the common denominator.
y=-3⋅4+34
Simplify the numerator.
Multiply -3 by 4.
y=-12+34
y=-94
y=-94
Move the negative in front of the fraction.
y=-94
y=-94
Use the x and y values to form the ordered pair.
(1,-94)
(1,-94)
Choose 2 to substitute in for x to find the ordered pair.
Remove parentheses.
y=-3+3(2)4
Simplify -3+3(2)4.
Multiply 3 by 2.
y=-3+64
Cancel the common factor of 6 and 4.
Factor 2 out of 6.
y=-3+2(3)4
Cancel the common factors.
Factor 2 out of 4.
y=-3+2⋅32⋅2
Cancel the common factor.
y=-3+2⋅32⋅2
Rewrite the expression.
y=-3+32
y=-3+32
y=-3+32
To write -3 as a fraction with a common denominator, multiply by 22.
y=-3⋅22+32
Combine -3 and 22.
y=-3⋅22+32
Combine the numerators over the common denominator.
y=-3⋅2+32
Simplify the numerator.
Multiply -3 by 2.
y=-6+32
y=-32
y=-32
Move the negative in front of the fraction.
y=-32
y=-32
Use the x and y values to form the ordered pair.
(2,-32)
(2,-32)
These are three possible solutions to the equation.
(0,-3),(1,-94),(2,-32)
Find Three Ordered Pair Solutions 3x-4y=12