is (1,-7) a solution to the equation y= x-8?
Let's substitute x=1 and y=-7 into the equation y=x-8 and see if the equation holds true.
Substituting, we have:
-7 = 1 - 8
Calculating on the right side:
-7 = -7
The equation holds true, so (1,-7) is indeed a solution to the equation y=x-8.
is (2,12) a solution to the equation y= -6x?
Let's substitute x=2 and y=12 into the equation y=-6x and see if the equation holds true.
Substituting, we have:
12 = -6(2)
Calculating on the right side:
12 = -12
The equation does not hold true, so (2,12) is not a solution to the equation y=-6x.
look at the following points.
(1,4), (8,5), (0,3), (2,-1)
which are solutions to y= x-3 choose all correct answers
To see which points are solutions to y=x-3, we can substitute the x-coordinates into the equation and check if they give us the corresponding y-coordinates. Let's go through each point:
1. For (1,4):
Substituting x=1 into y=x-3, we have:
4 = 1 - 3
4 = -2
The equation does not hold true for this point, so (1,4) is not a solution.
2. For (8,5):
Substituting x=8 into y=x-3, we have:
5 = 8 - 3
5 = 5
The equation holds true for this point, so (8,5) is a solution.
3. For (0,3):
Substituting x=0 into y=x-3, we have:
3 = 0 - 3
3 = -3
The equation does not hold true for this point, so (0,3) is not a solution.
4. For (2,-1):
Substituting x=2 into y=x-3, we have:
-1 = 2 - 3
-1 = -1
The equation holds true for this point, so (2,-1) is a solution.
Therefore, the correct answers are:
- (8,5)
- (2,-1)
there are 6 donuts in 2 bag, 12 donuts in 2 bags, 18 donuts in 3 bags, and so on. how many donuts are in 8 bags?
We can see a pattern in the given information:
- 2 bags have 6 donuts
- 2 bags have 12 donuts
- 3 bags have 18 donuts
From this pattern, we can observe that for every set of 2 bags, the number of donuts increases by 6. So, for every additional set of 2 bags (or every 3 bags), the number of donuts increases by 6.
To find the number of donuts in 8 bags, we can calculate:
Number of donuts in 8 bags = (Number of donuts in 2 bags) * (Number of sets of 2 bags in 8 bags)
Number of donuts in 2 bags is 6, and the number of sets of 2 bags in 8 bags is 8 divided by 2, which is 4.
Number of donuts in 8 bags = 6 * 4 = 24
Therefore, there are a total of 24 donuts in 8 bags.
there are 6 donuts in 2 bag, 12 donuts in 2 bags, 18 donuts in 3 bags, and so on. how many donuts are in 8 bags?
36
48
60
14
To find the number of donuts in 8 bags, we can analyze the given information and observe a pattern.
- 2 bags have 6 donuts
- 3 bags have 12 donuts
- 4 bags have 18 donuts
From this pattern, we can see that for every additional bag, the number of donuts increases by 6.
Therefore, the number of donuts in 8 bags would be:
Number of donuts in 8 bags = Number of bags * (6 donuts per bag)
Number of donuts in 8 bags = 8 * 6 = 48
Thus, there would be 48 donuts in 8 bags. Therefore, the correct answer is 48.
To check whether the point (1, -7) is a solution to the equation y = x - 8, substitute the values of x and y from the given point into the equation and check if the equation holds true.
Let's substitute x = 1 and y = -7 into y = x - 8:
-7 = 1 - 8
Now simplify the equation:
-7 = -7
Since both sides of the equation are equal, (1, -7) is indeed a solution to the equation y = x - 8.