Answer:
Given : equations in the form x−b=c and solution sets
To find : Find expression / equation
Solution:
x−b=c
2 - b = c
13 - b = c
only possible
if | 2 - b| = | 13 - b|
=> 13 - b = b - 2
=> 2b = 11
=> b = 11/2
x - 11/2 = √25
x=23
=> x + 2 = 25
1/2 - b = b + 1/3
=> 2b = 1/6
=> b = 1/12
x - 1/12 = √(25/144)
x = - 3
=> x + 3 = 0
x=−4.1.
=> x + 4.1 = 0
All numbers such that x≥5.
x - 5 ≥ 0
All numbers such that x≤5.
x - 5 ≤ 0
All numbers such that x≤−14.
=> x + 14 ≤ 0
All numbers such that x≥−1.3.
=> x + 13 ≥ 0
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Step-by-step explanation:
Observe that
In the original equation, divide both sides by 
:
Next,
where 
is any integer. Then
Fix 
to ensure 
, so that
Answer:
10
Step-by-step explanation:
3x + 3 = 33
3x = 33 - 3
3x = 30
x = 30 ÷ 3
x = 10
Answer:
One answer: 3(2x + 10) - 2(x - 2) - 59 = 3
Step-by-step explanation:
First, break up 7 into two parts:
3 + 4 = 7
Then, replace 7 with x:
3 + 4 = x
Then, create more complexity:
3 + 21 - 14 = x
21-14 = x - 3
3(x) - 2(x) - x = 3
Drop the last -x and add a constant:
3(2x + 10) - 2(x - 2) - 59 = 3
Proof:
3(2(7) + 10) - 2(7 - 2) - 59 = 3
3(14 + 10) - 2(5) - 59 = 3
3(24) - 10 -
72 - 10 - 59 = 3
62 - 59 = 3
3 = 3
Hope this helps! Have an awesome day! :-)
