Which ordered pair is not a solution of y = -12x - 3?
o (-3, 33)
o (8, -98)
o (-9, 105)
o (3, -39)
I don't understand how I should go about solving this, and I could use some assitence.
The answer would be B. You solve it by substituting the x and y values in the expression, and seeing if it makes a true statement.
"would be" <~~?
Or "is"?
To determine which ordered pair is not a solution of y = -12x - 3, we need to substitute the x- and y-values of each pair into the equation and check if the equation holds true.
1. For the ordered pair (-3, 33):
- Substitute x = -3 and y = 33 into the equation y = -12x - 3:
33 = -12(-3) - 3
33 = 36 - 3
33 = 33
Since the equation is satisfied, (-3, 33) is a solution.
2. For the ordered pair (8, -98):
- Substitute x = 8 and y = -98 into the equation y = -12x - 3:
-98 = -12(8) - 3
-98 = -96 - 3
-98 = -99
Since the equation is not satisfied, (8, -98) is not a solution.
3. For the ordered pair (-9, 105):
- Substitute x = -9 and y = 105 into the equation y = -12x - 3:
105 = -12(-9) - 3
105 = 108 - 3
105 = 105
Since the equation is satisfied, (-9, 105) is a solution.
4. For the ordered pair (3, -39):
- Substitute x = 3 and y = -39 into the equation y = -12x - 3:
-39 = -12(3) - 3
-39 = -36 - 3
-39 = -39
Since the equation is satisfied, (3, -39) is a solution.
Based on these calculations, the pair (8, -98) is not a solution to the equation y = -12x - 3.
To determine if an ordered pair is a solution to an equation, you need to substitute the values of the ordered pair into the equation and check if the equation holds true.
In this case, we have the equation y = -12x - 3, and we need to check if each ordered pair satisfies this equation.
Let's go through the options one by one:
1. (-3, 33)
To check if this ordered pair is a solution, we substitute x = -3 and y = 33 into the equation:
33 = -12(-3) - 3
33 = 36 - 3
33 = 33
The equation is true for this ordered pair, so (-3, 33) is a solution.
2. (8, -98)
Substituting x = 8 and y = -98:
-98 = -12(8) - 3
-98 = -96 - 3
-98 = -99
The equation is not true for this ordered pair, so (8, -98) is not a solution.
3. (-9, 105)
Substituting x = -9 and y = 105:
105 = -12(-9) - 3
105 = 108 - 3
105 = 105
The equation is true for this ordered pair, so (-9, 105) is a solution.
4. (3, -39)
Substituting x = 3 and y = -39:
-39 = -12(3) - 3
-39 = -36 - 3
-39 = -39
The equation is true for this ordered pair, so (3, -39) is a solution.
Therefore, the ordered pair that is NOT a solution to y = -12x - 3 is (8, -98).