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Question 87065: one number is two more than a second number. twice the first number is four
less than 3 times the second number. find the numbers
Answer by ptaylor(2198)   (Show Source):
You can put this solution on YOUR website! Let x=the first number
And y=the second number
Now we are told that one number is two more than a second number. So we have:
x=y+2-------------------------eq1
We are also told that twice the first number is four less than 3 times the second number. And this gives us:
2x=3y-4----------------------------eq2
From eq1, substitute x=y+2 into eq2:
2(y+2)=3y-4 get rid of parens
2y+4=3y-4 subtract 3y and also 4 from both sides
2y+4-4-3y=3y-3y-4-4 collect like terms
-y=-8 divide both sides by -1
y=8 ----------------------------the second number
From eq1, x=y+2 or x=8+2=10------------------------the first number
CK
one number(10) is 2 more than the second number(8)----------------ok
twice the first number(20) is four less than 3 times the second number(24-4=20)---ok
Hope this helps---ptaylor
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