SOLUTION: I need to find the value of a and b. Could you please solve this with each step thank you so much. (a/(x+3))-(b/(x+2))=(3x-2)/((x+3)(x+2))

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I need to find the value of a and b. Could you please solve this with each step thank you so much. (a/(x+3))-(b/(x+2))=(3x-2)/((x+3)(x+2))      Log On


   

Question 994462: I need to find the value of a and b. Could you please solve this with each step thank you so much. (a/(x+3))-(b/(x+2))=(3x-2)/((x+3)(x+2))
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

solve for a:

%28a%2F%28x%2B3%29%29-%28b%2F%28x%2B2%29%29=%283x-2%29%2F%28%28x%2B3%29%28x%2B2%29%29

%28a%2F%28x%2B3%29%29=%283x-2%29%2F%28%28x%2B3%29%28x%2B2%29%29%2B%28b%2F%28x%2B2%29%29



%28a%2F%28x%2B3%29%29=%28%283x-2%29%2Bb%28x%2B3%29%29%2F%28%28x%2B3%29%28x%2B2%29%29

a=%283x-2%2Bbx%2B3%29%2F%28cross%28%28x%2B3%29%29%28x%2B2%29%29cross%28%28x%2B3%29%29

a=%283x%2Bbx%2B1%29%2F%28x%2B2%29

solve for b:

%28a%2F%28x%2B3%29%29-%28b%2F%28x%2B2%29%29=%283x-2%29%2F%28%28x%2B3%29%28x%2B2%29%29

%28a%2F%28x%2B3%29%29-%283x-2%29%2F%28%28x%2B3%29%28x%2B2%29%29=+%28b%2F%28x%2B2%29%29



%28%28ax%2B2a%29-%283x-2%29%29%2F%28%28x%2B3%29%28x%2B2%29%29=+b%2F%28x%2B2%29

%28ax%2B2a-3x%2B2%29%2F%28%28x%2B3%29%28x%2B2%29%29=+b%2F%28x%2B2%29

%28x%2B2%29%28%28ax%2B2a-3x%2B2%29%2F%28%28x%2B3%29%28x%2B2%29%29%29=+b




b=%28ax%2B2a-3x%2B2%29%2F%28x%2B3%29