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Question 273568: how do you write this as an equation?
seven more than the product of six and a number is eight less than the product of three and a number.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! let x be the first number
let y be the second number.
if they're the same number, then you make y = x.
assuming the numbers are different, then:
6x + 7 = 3y - 8
assuming the numbers are the same, then:
6x + 7 = 3x - 8
assuming they're the same number, I would solve this to get:
6x + 7 = 3x - 8
subtract 7 from both sides of this equation and subtract 3x from both sides of this equation to get:
6x - 3x = -8 - 7
combine like terms to get:
3x = -15
divide both sides by 3 to get:
x = -5
assuming the number is -5, then:
6*-5 + 7 = 3*-5 - 8
simplify to get:
-30+7 = -15-8
combine like terms to get:
-23 = -23
equation is satisfied.
number is -5
the product of 6 and the number is -30
seven more than that is -23
the product of 3 and the number is -15
8 less than that is -23.
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