SOLUTION: What are the values of "A" and "B" if A(2x-3) + B(x+2) = 5x-11
Algebra.Com
Question 287959: What are the values of "A" and "B" if A(2x-3) + B(x+2) = 5x-11
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hint: If , then which can be rewritten as
From there, notice that the 'x' "coefficient" on the left side is and the right 'x' coefficient is 5. Since there are no other 'x' terms, this must mean that . Using similar logic, the constant terms of on the left side match up with the constant -11 on the right. So
What we now have is a system of two equations in two unknowns which are
So just solve this system for A and B. I'll let you do that.
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