To determine if the given points are solutions for the equation y = -6x - 9, we can substitute the x- and y-values into the equation and check if it holds true.
For the first point (7,51):
When x = 7, the equation becomes y = -6(7) - 9 = -42 - 9 = -51. However, the y-value given is 51, which does not match -51. Therefore, (7,51) is not a solution.
For the second point (3,-32):
When x = 3, the equation becomes y = -6(3) - 9 = -18 - 9 = -27. The y-value given is -32, which does match -27. Therefore, (3,-32) is a solution.
For the third point (-8,39):
When x = -8, the equation becomes y = -6(-8) - 9 = 48 - 9 = 39. The y-value given is 39, which matches 39. Therefore, (-8,39) is a solution.
For the fourth point (-5,-13):
When x = -5, the equation becomes y = -6(-5) - 9 = 30 - 9 = 21. The y-value given is -13, which does not match 21. Therefore, (-5,-13) is not a solution.
In summary,
Yes, (3,-32) and (-8,39) are solutions to the equation y = -6x - 9.
No, (7,51) and (-5,-13) are not solutions.
is it a solution? y = -6x - 9
yes or no
7,51
3,-32
-8,39
-5,-13
3 answers
are you sure
Apologies for the incorrect response. Let's re-evaluate:
For the point (7, 51):
Substituting the values, we have
51 = -6(7) - 9
51 = -42 - 9
51 = -51
Since 51 is not equal to -51, the equation does not hold true when substituting the first point. Therefore, (7, 51) is not a solution to the equation.
For the point (3, -32):
Substituting the values, we have
-32 = -6(3) - 9
-32 = -18 - 9
-32 = -27
Again, -32 is not equal to -27, so the equation does not hold true when substituting the second point. Hence, (3, -32) is not a solution.
For the point (-8, 39):
Substituting the values, we have
39 = -6(-8) - 9
39 = 48 - 9
39 = 39
In this case, 39 is equal to 39. Therefore, the equation holds true when substituting the third point. So, (-8, 39) is a solution.
For the point (-5, -13):
Substituting the values, we have
-13 = -6(-5) - 9
-13 = 30 - 9
-13 = 21
Since -13 is not equal to 21, the equation does not hold true when substituting the fourth point. Hence, (-5, -13) is not a solution.
In summary:
(7, 51) is not a solution.
(3, -32) is not a solution.
(-8, 39) is a solution.
(-5, -13) is not a solution.
For the point (7, 51):
Substituting the values, we have
51 = -6(7) - 9
51 = -42 - 9
51 = -51
Since 51 is not equal to -51, the equation does not hold true when substituting the first point. Therefore, (7, 51) is not a solution to the equation.
For the point (3, -32):
Substituting the values, we have
-32 = -6(3) - 9
-32 = -18 - 9
-32 = -27
Again, -32 is not equal to -27, so the equation does not hold true when substituting the second point. Hence, (3, -32) is not a solution.
For the point (-8, 39):
Substituting the values, we have
39 = -6(-8) - 9
39 = 48 - 9
39 = 39
In this case, 39 is equal to 39. Therefore, the equation holds true when substituting the third point. So, (-8, 39) is a solution.
For the point (-5, -13):
Substituting the values, we have
-13 = -6(-5) - 9
-13 = 30 - 9
-13 = 21
Since -13 is not equal to 21, the equation does not hold true when substituting the fourth point. Hence, (-5, -13) is not a solution.
In summary:
(7, 51) is not a solution.
(3, -32) is not a solution.
(-8, 39) is a solution.
(-5, -13) is not a solution.