SOLUTION: Hello, I would like some help here: "If a*b=a-3b and a#b=2a+3b, evaluate the expression (4*3)#5." The trouble for me here relies on the meaning of this symbol: "#" Could you

Algebra ->  Expressions -> SOLUTION: Hello, I would like some help here: "If a*b=a-3b and a#b=2a+3b, evaluate the expression (4*3)#5." The trouble for me here relies on the meaning of this symbol: "#" Could you       Log On


   



Question 936434: Hello, I would like some help here:
"If a*b=a-3b and a#b=2a+3b, evaluate the expression (4*3)#5."
The trouble for me here relies on the meaning of this symbol: "#" Could you tell me what that means? And moreover, how can or does it apply to the problem?

Thank you in advance,
Marcelino

Found 3 solutions by srinivas.g, josgarithmetic, MathLover1:
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
In General, # is not have any significance pertaining to maths
But in this problem, # is defined as a condition. we have to use those conditions to solve the problem
given conditions : a8b=a-3b a#b=2a+3b
4*3 = 4-3(3) ( here a=4 , b=3)
= 4-9
=-5
(4*3)#5 = (-5)#5
(-5)#5 = 2(-5)+3(5) ( here a=-5 b= 5)
=-10+15
= 5
Result :(4*3)#5 =5


Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
You can only follow the two formulas to understand the operation symbols, * and #.
Trust the grouping symbols as you already know them.

Looking at the example formulas with the operators for guidance, first evaluate 4*3; and then evaluate that with #5. You might also show the entire grouped expression and first find the "simplified" expression for (4*3)#5, treating (4*3) as a separate number; and then .... no... find out what is r=4*3 AND THEN find what is r#5.


Reread that and think carefully about it.
Do you see what to do?


Final result should be 5.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
You are given the definitions: a+%2A+b+=+a+-3b and a # b =+2a+%2B+3b,
looking at the expression %284+%2A+3%29 # 5 and equation a+%2A+b+=+a+-3b, we see that a+%2A+b+=+%284+%2A+3%29 ;so, a=4 and b=3
Let's use it:
a+%2A+b+=+a+-3b ...........if +a=4 and b=3
%284%2A3%29=%284%29-3%283%29,
So, %284%2A3%29=-5.
then the expression %284+%2A+3%29 # 5
%284%2A3%29#5=%28-5%29#5=> since given a # b =+2a+%2B+3b, then
%28-5%29#5= 2%28-5%29%2B3%285%29