SOLUTION: Two numbers have a difference of 47.One number is three more than five times the other.Write a system of equations that could be used to find the two numbers.It says write a system

Question 33167: Two numbers have a difference of 47.One number is three more than five times the other.Write a system of equations that could be used to find the two numbers.It says write a system of equations to represent each situation.
Found 2 solutions by sarah_adam, priya:
Answer by sarah_adam(201) (Show Source): You can put this solution on YOUR website!
Let the two numbers be x and y
given:
x - y = 47
given one number is three times more than five times the other
so let x be that number
x = 3+5(y)
therfore here we have two equations
x - y = 47 which implies x = y+47
x - 5y = 3
47+y-5y = 3 (substituting the value of x)
4y = 44
y = 11
x = 58
Answer by priya(51) (Show Source): You can put this solution on YOUR website!
FIRST FORM EQUATIONS WITH THE INFORMATIONS GIVEN IN THE QUESTION.

let the numbers be X & Y,
The diff. of the two numbers is 47 and is written as,
EQ 1. X - Y = 47

EQ 2. X = 3 + 5*Y
Put the value of X (FROM EQ 2) IN EQ 1 .,

3 + 5Y - Y = 47
4Y = 47 -3
Y = 44/4
= 11.
PUT Y = 11 IN EQ 1.,
we get X = 47 + 11
= 58.
The numbers are 58 and 11.
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