How to convert "1.30279e+11" to number (Answer first, then explanation)
2 answers:
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Required number is and required expression is n – 10 = 6n + 3
Given that
Ten less than a number is three more than six times the number.
Number is represented by variable "n"
Need to determine equation and the number.
Ten less than number means subtracting 10 from the number
As number is n so ten less than number = n – 10 ------(1)
Six times the number = number multiplied by 6 = 6n
So three more than Six times the number = 6n + 3 --------(2)
As ten less than number is equal to 3 more than six times the number
=> n – 10 = 6n + 3
Solving the above expression for n we get
-10-3 = 6n – n
=> 5n = -13
Hence required number is and required expression is n – 10 = 6n + 3
Step 1:
Line up respective variables in column.
.................(1)
.................................(2)
Step 2:
We need to multiply first equation with -2 so that the coefficient of b becomes equal and opposite of -8.
*2
...................(3)
Step 3:
Add equation (2) and (3)
The b terms will cancel out and we are left with only a terms.
-11a = 22
dividing both sides by -11
a=-2
Step 4:
plug this value of a in equation (1) to find value of b,
b=-9
Answer : a=-2 and b =-9
You get everything you need from factoring the last expression:
The left side is a difference of squares, and we get another difference of squares upon factoring. We end up with
Plug in everything you know and solve for :