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First we need to find two numbers that multiply to make ac and add to make b which are -6 and 5 in this case.The two numbers that do this are 6 and -1. Now we separate the 5x into 6x and -x. Putting this ...

Let m be the number of males. Let f be the number of females.
(1/3)m + (1/4)f = 66      (1)
m = 2f                   (2)
(1/3) * 2f + (1/...

Label each equation:2x + y = 18 (1)x - y = 6 (2)Since the y's have the same coefficient (ignoring the signs) you want to cancel the y's to leave just an equation with x.add (1) to (2):3x = 24Then rearrang...

To begin question, we must establish how blue counters there are at the start. This is a simple subtraction calculation.13-4=9There are 4 red counters and 9 blue counters, which totals to 13 counters. Nex...

First step: Find the number of students out of the whole school who play the violin. 2/5 x 3/7= 6/35 (Simplest version of the fraction) Take the denominator to represent the number of students in...