The sum of two rational numbers is (-4).If one of them is -11/5,find the other
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Answer:
The other number is -9/5
Step-by-step explanation:
Step 1:
Let the other number be x
Therefore the equation will be:
-11/5 + x = -4
Step 2:
take l.c.m of all(5)
-11/5 + x×5/5 =-4
Step 3:
-11/5 + 5x/5 =-4
Step 4:
-11/5 + 5x/5 + 4=0
Step 5:
-11/5 + 5x/5 + 4×5/5=0
-11+5x/5 +20/5 =0
Step 6:
5 will go on right hand side and it will multiply by 0,that is 0×5=0
Step 7:
-11 + 5x +20=0
9+5x=0
Step 8:
5x=-9
x=-9/5
VERIFICATION:-
-11/5 - 9/5 = (-4)
-20/5 = (-4)
-4=-4
HENCE PROVED!
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