SOLUTION: Translate each of the following situations into a system of equations of the first degree in two variables and identify the variables. Michael and Jan own a lot of posters. Jan

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Translate each of the following situations into a system of equations of the first degree in two variables and identify the variables. Michael and Jan own a lot of posters. Jan      Log On


   

Question 1025432: Translate each of the following situations into a system of equations of the first degree in two variables and identify the variables.
Michael and Jan own a lot of posters. Jan has 30 posters more than Michael. If each one gave you a third of his collection, you would have 120 posters.
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
Translate each of the following situations into a system of equations of the first degree in two variables and identify the variables.
Michael and Jan own a lot of posters. Jan has 30 posters more than Michael. If each one gave you a third of his collection, you would have 120 posters.
~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Let m be the number of posters that Michael has,
and j be the number of posters that Jan     has.

j = m + 30,            (1)
%281%2F3%29%2Aj+%2B+%281%2F3%29%2Am = 120.   (2)