Answer:
4
Step-by-step explanation:
-2x- 4 + 5x = 8
Collect like terms
-2x + 5x = 8 +4( when a variable crosses over equality sign it becomes either negative or positive depending on the sign)
3x = 12
Divide via by coefficient of x
X = 12/3
= 4
Answer:
x = 2
Step-by-step explanation:
These equations are solved easily using a graphing calculator. The attachment shows the one solution is x=2.
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<h3>Squaring</h3>
The usual way to solve these algebraically is to isolate radicals and square the equation until the radicals go away. Then solve the resulting polynomial. Here, that results in a quadratic with two solutions. One of those is extraneous, as is often the case when this solution method is used.

The solutions to this equation are the values of x that make the factors zero: x=2 and x=-1. When we check these in the original equation, we find that x=-1 does not work. It is an extraneous solution.
x = -1: √(-1+2) +1 = √(3(-1)+3) ⇒ 1+1 = 0 . . . . not true
x = 2: √(2+2) +1 = √(3(2) +3) ⇒ 2 +1 = 3 . . . . true . . . x = 2 is the solution
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<h3>Substitution</h3>
Another way to solve this is using substitution for one of the radicals. We choose ...

Solutions to this equation are ...
u = 2, u = -1 . . . . . . the above restriction on u mean u=-1 is not a solution
The value of x is ...
x = u² -2 = 2² -2
x = 2 . . . . the solution to the equation
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<em>Additional comment</em>
Using substitution may be a little more work, as you have to solve for x in terms of the substituted variable. It still requires two squarings: one to find the value of x in terms of u, and another to eliminate the remaining radical. The advantage seems to be that the extraneous solution is made more obvious by the restriction on the value of u.
There are 20 numbers in the set.
Given,
Set of numbers is 120
one number is increased by 300
and, mean increases to 135.
To find the how many numbers are in the set?
Now, According to the question:
Let the number of numbers be 'n'
Then, (sum of numbers)/n = 120
or, old sum = 120n
if one number is increased by 300, the new sum = (old sum + 300)
Then, (new sum)/ n= 135
or new sum = 135n = old sum + 300 = 120n + 300
The equation will be:
135n = 120n + 300
15n = 300
n = 20
Hence, There are 20 numbers in the set.
In the question:
The mean of a set of numbers is 120. if one number is increased by 300, the mean increases to 135.
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99 is the biggest 2 digit number correct? So 1000 more than that is 99 + 1000 = 1099
I’m not sure if I’m correct but I think it is 2^21