if 7by2is added to five time of a number give 14 is subtract from 3by2 of a number from the linear eqution
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Step-by-step explanation:
Given that:-
Let the number be X
Five time of the number=5X
7/2 is added to five times of the number
=>5X+7/2....(1)
3/2 of the number=3X/2
14 is subtracted from 3/2 of a number
=>3X/2-14....(2)
from (1)&(2)
=>5X+7/2=3X/2-14
=>(10X+7)/2=(3X-28)/2
Cancelling 2 on both sides
=>10X+7=3X-28
=>10X-3X=-28-7
=>7X= -35 or 7X+35=0
=>X=- 35/7
=>X=-5
The required number is -5
Check:-
LHS:-
7by2is added to five time of a number
= 7/2+5(-5)
=>7/2-25
=>(7-50)/2
=>-43)2......(1)
RHS:-
14 is subtract from 3by2 of a number
=>3/2(-5)-14
=>-15/2-14
=>(-15-28)/2
=>-43/2....(2)
LHS =RHS is true for X=-5
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