SOLUTION: One number is 1 more than 2 times another. Their product is 7 more than 3 times their sum. Find the numbers.
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Question 765198: One number is 1 more than 2 times another. Their product is 7 more than 3 times their sum. Find the numbers.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
One number is 1 more than 2 times another. Their product is 7 more than 3 times their sum. Find the numbers.
let one number be and another number
if one number is 1 more than 2 times another, then we have
......eq.1
if their product is 7 more than 3 times their sum, then we have
......eq.2
solve the system:
......eq.1
......eq.2
____________________
......eq.2....substitute from eq.1
.......solve for
solutions:
the is
=>
=>
so, numbers are:
and
or
and
check:
......eq.1
......eq.2
...both rounded to one decimal are
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