Step-by-step explanation:
I think you are trying to find x, I dunno, but if you are here's the solution.
when trying to find x, your main goal is to shift all x terms to one side.
For the first one
4x-3 = 5x-3
Carry all x terms to one side:
(4x-3)-5x = (5x-3)-5x
4x-5x-3 = -3
Shift all constants (purely just numbers, no x) to the other side
(4x-5x-3)+3 = (-3)+3
4x-5x = 0
-x = 0
x = 0
The second one:
-2x = 3x-5
5x = -5
x = -1
Done, have fun with math!
You must be 5 feet. Yes you can go on the ride if you are 5 feet because 60 inches equals 5 feet
Add 35 to 140 and then subtract 80 equals $95
35 +140=170 -80
$95
Answer:
- x = ±√3, and they are actual solutions
- x = 3, but it is an extraneous solution
Step-by-step explanation:
The method often recommended for solving an equation of this sort is to multiply by the product of the denominators, then solve the resulting polynomial equation. When you do that, you get ...
... x^2(6x -18) = (2x -6)(9)
... 6x^2(x -3) -18(x -3) = 0
...6(x -3)(x^2 -3) = 0
... x = 3, x = ±√3
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Alternatively, you can subtract the right side of the equation and collect terms to get ...
... x^2/(2(x -3)) - 9/(6(x -3)) = 0
... (1/2)(x^2 -3)/(x -3) = 0
Here, the solution will be values of x that make the numerator zero:
... x = ±√3
_____
So, the actual solutions are x = ±3, and x = 3 is an extraneous solution. The value x=3 is actually excluded from the domain of the original equation, because the equation is undefined at that point.
_____
<em>Comment on the graph</em>
For the graph, we have rewritten the equation so it is of the form f(x)=0. The graphing program is able to highlight zero crossings, so this is a convenient form. When the equation is multiplied as described above, the resulting cubic has an extra zero-crossing at x=3 (blue curve). This is the extraneous solution.
Given:
Number of passengers seated in the roller coaster = 21
Empty seats = 3
Number of cars in roller coaster = 4 (each with the same number of seats)
To find:
An equation that can be used to determine the number of seats in each car.
Solution:
Let s be the number of seats in each car.
Total number of seats in 4 cars = 4s
Using the given information,
Total number of seats = Occupied seated + Empty seats
= 21 + 3
= 24
Now, the required equation is

Therefore, the required equation is
.
Divide both sides by 4.


Therefore, the number of seats in each car is 6.