Answer:16
Step-by-step explanation:
The statement
no solutions represents the simplified form of the given equation 6x + 14 = 3(2x + 5). Hence Option A is correct
<u>Solution:</u>
Given, equation is 6x + 14 = 3(2x + 5).
We have to find the correct options that represents the simplified form of the given equation and correctly describes the solution.
So, now let us simplify the given equation
⇒6x + 14 = 3(2x + 5) ⇒ 6x + 14 = 6x + 15 ⇒ 6x – 6x + 14 = 15 ⇒ 14 ≠ 15
As L.H.S not equals with R.H.S, no value of x can satisfy the equation and there will be no solution for given equation.
Hence, option A is correct.
Indirect proof or contradiction
Are there choices to pick from?
Hi there!
Let's break this down:
Two times a number = 2n
Increased by 5 = + 5
is 15 - = 15
Total equation:
2n + 5 = 15
Solving:
2n + 5 = 15
2n = 10
n = 5
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Collinear means the points are lying on single straight line
So B)with K G R form a single straight line is correct
Coplanar means the points are in the same plane
So D)with H G K N on the same plane is correct
Overall,B) and D) are correct