Question 235566: A pear farm contains 126 trees. The number of trees per row is five more than the number of rows. Find the number of rows.
Answer by Stitch(470)   (Show Source):
You can put this solution on YOUR website! Setup:
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A = Number of Rows
B = Number of Trees per row
Equation 1: 
Equation 2: 
Solution:
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Plug (B-5) into Equation 1 for A
 Rewrite the equation
 Set the equation to 0 by subtract 126 from both sides
Find the factors of 126
The factors are: 1, 2, 3, 6, 7, 9, 14, 18 21, 42,63,126
Notice that 9 and 14 are the factors that are 5 apart and we have a -5B
So the equation can be foiled
Looking at  we see two solutions
 rewritten as 
&  rewritten as 
Since we can not have a negative number of trees, we will use B = 14
Now plug 14 into equation 2 for B
Equation 2:
Check your answer:
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Using A = 9 & B = 14 Solve equation 1
Equation 1:
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