SOLUTION: Hi, I need help on a linear equations word problem and when translating I got x+y=115, x+y=21, did I translate it right? Translate to a system of equations and solve: The sum o

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Question 1158446: Hi, I need help on a linear equations word problem and when translating I got x+y=115, x+y=21, did I translate it right?
Translate to a system of equations and solve:
The sum of two numbers is 115. The difference is 21. Find the numbers.

Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
difference means subtraction
x-y=21
then by adding
2x=136
x=68
y=47

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
..........eq.1
...........eq.2
Translate to a system of equations and solve:
The sum of two numbers is . ->correct
The difference is . ->incorrect=> is also the sum of two numbers
..........eq.1
...........eq.2
----------------------------subtract eq.2 from eq.1


-> no solution exist (equations above represent two parallel lines)



but, if you made mistake typing and if it is acctualy difference, then you have
...........eq.2
and system is

..........eq.1
...........eq.2
----------------------------subtract eq.2 from eq.1




go to
...........eq.2, plug in value






check solution:

=>=>
=>

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