SOLUTION: If a o b is defined to be 2a-3b and 5 o x = 1, then x = ? The answer is 3. Why?

Algebra.Com
Question 327521: If a o b is defined to be 2a-3b and 5 o x = 1, then x = ?
The answer is 3. Why?
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
If a o b is defined to be 2a-3b and 5 o x = 1, then x = ?
The answer is 3. Why?

a o b = 2*a - 3*b

Substitute 5 for a and x for b

a o b = 2*a - 3*b
5 o x = 2*5 - 3*x

We are told that this equals 1, so

5 o x = 2*5 - 3*x =  1
          10 - 3x =  1
              -3x = -9
                x =  3

Checking:

5 o x = 2*5 - 3*x
5 o 3 = 2*5 - 3*3 = 10 - 9 = 1

Edwin
RELATED QUESTIONS

Find an equation of a linear function o(x)for which o(3)=7 and o(-1)=5. Then find... (answered by solver91311)
Suppose that the functions p and q are defined as follows: p(x)=-2x+1 q(x)=-x^2 Find (answered by fcabanski)
Use the drawing in which AC intersects DB at point O to answer the question. Two... (answered by CPhill,ikleyn)
1). If f(x) =2x2+1 and g(x)=x-3, find (f o g)(x). a. (f o g)(x) = 2x 2 - 17 b. (f o... (answered by funmath)
Use the drawing in which AC intersects DB at point O to answer the question. Two... (answered by ikleyn)
Pls help! If you can answer either one of them, I am so appreciated. 1.(x-2)(x+3)^2 /... (answered by Fombitz)
Find (a) (f o g)(x) and the domain of f o g and (b) (g o f)(x) and the domain of g o f.... (answered by stanbon)
Let f(x)=x^2+x and g(x)=2x+1. Find and simplify the following: . a) (g o f)(x) . (answered by pushpaharan)
Pls help! If you can answer either one of them, I am so appreciated. 1.(x-2)(x+3)^2 /... (answered by Fombitz)