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!
If each of them got 1/3 of the deck then they would each get 7 cards
Answer:
(2, 3)
Step-by-step explanation:
The point with integer coordinates nearest the solution point seems to be (2, 3).
The given expression is

We have to find the discriminant first . And for that, first we need to move whole terms of the left side to right side, that is


The formula of discriminant is

Substituting the values of a,b and c, we will get

And since the discriminant is greater than 0, or it is positive so we have two real roots.
Therefore the correct option is B .
Answer:
b
Step-by-step explanation: