SOLUTION: What are the values of "A" and "B" if A(2x-3) + B(x+2) = 5x-11

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Question 287959: What are the values of "A" and "B" if A(2x-3) + B(x+2) = 5x-11
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: If A%282x-3%29+%2B+B%28x%2B2%29+=+5x-11, then 2Ax-3A%2BBx%2B2B=5x-11 which can be rewritten as %282A%2BB%29x%2B%28-3A%2B2B%29=5x-11


From there, notice that the 'x' "coefficient" on the left side is 2A%2BB and the right 'x' coefficient is 5. Since there are no other 'x' terms, this must mean that 2A%2BB=5. Using similar logic, the constant terms of -3A%2B2B on the left side match up with the constant -11 on the right. So -3A%2B2B=-11


What we now have is a system of two equations in two unknowns which are system%282A%2BB=5%2C-3A%2B2B=-11%29


So just solve this system for A and B. I'll let you do that.