Answer:
B = 4
T = 2
Step-by-step explanation:
First, figure out the equation.
We know that bicycles have 2 wheels, that there are 3 on a tricycle, and there are a total of 14 wheels and a total of 6 bicycles and tricycles.
Let b stand for bicycles and t stand for tricycles:
14 = 2b + 3t
6 = b + t
We can figure out the amount of either by rearranging the second equation to isolate one variable. I will solve it in two ways
In the first way, I will solve for b
(-t) 6 = b + t (-t)
6 - t = b
Plug this into the first equation and solve for remaining variable
14 = 2(6 - t) +3t
14 = 12 - 2t + 3t
14 = 12 +t
-12 -12
2 = t
6 - 2 = b
b = 4
The second way was to solve for t first
(-b) 6 = b + t (-b)
6 - b = t
14 = 2b + 3(6 - b)
14 = 2b + 18 - 3b
(-18) 14 = 18 -b (-18)
-4/-1 = -b/-1
b = 4
6 - 4 = t
t = 2
It doesn't matter which way you go, they both give you the exact same answer.
Sooo, recap!
1) write equations
2) switch the easier of the two to isolate one variable
3) substitute to find other variable (x2)
4) Find answers! =D
Hope this helps!
Answer:
- the definition needs to restrict all of the points to a plane
Step-by-step explanation:
In 3-dimensional Euclidean space, a sphere is the set of all points the same distance from a given point. The given definition of a circle only applies when the given point and the solution set are in the same plane, and the geometry is Euclidean.
Answer: h = 30.5
Step-by-step explanation
2h - 49 = 12
+49 +49
Add 49 to both sides. Inverse operation
2h = 61
2h/2 = 61/2
Divide 2 to both sides to get answer. Inverse operation
h = 30.5
Check:
2(30.5) - 49 = 12
61 - 49 = 12
12 = 12
Looks like the system is
We can eliminate 
by taking
so that 
, and
Substitute into this last equation and solve for 
:
Then
Plug these values into any one of the original equation to solve for :
Hence the solution is x = 4, y = -3, and z = 2.
