Question 785444: Find the numbers if 7 is subtracted and result multiplied by 12 giving a result 6 times the number. Answer by Trontor(4) (Show Source):
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Basically, read the question out loud, if a number (a) has seven subtracted from it, then that new number (a-7) is multiplied by 12 , it will equal six times that number (6a)
Move the terms to the left by minusing 6a from each side.
Since is the same as we can use the distributive law and expand it to which becomes
Since we have we need to move the 84 to the other side, and have all the 's on the other. We do this by adding 84 on the left hand side to cancel out the -84 and adding 84 to 0 on the right hand side. This makes the equation . Since 12a - 6a is 6a , we can simplify our equation to to get rid of the 6 in 6a we need to divide both sides by 6 to get a by itself.
This makes the equation which is . We can confirm this by replacing the number in your original equation with 14
this makes .
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