SOLUTION: MY question is this: I need to be able to build a 2x2 linear equation from this question; A baseball team plays 162 games in its season. In a recent year, the team won 34 more g

Algebra ->  Linear-equations -> SOLUTION: MY question is this: I need to be able to build a 2x2 linear equation from this question; A baseball team plays 162 games in its season. In a recent year, the team won 34 more g      Log On


   

Question 599458: MY question is this:
I need to be able to build a 2x2 linear equation from this question; A baseball team plays 162 games in its season. In a recent year, the team won 34 more games than it lost. How many games did the team win and how many did it lose?
I do not know how to build an equation from that, What should the "x" value be for the games won or lost in the equations?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
I need to be able to build a 2x2 linear equation from this question; A baseball team plays 162 games in its season. In a recent year, the team won 34 more games than it lost. How many games did the team win and how many did it lose?
.
Let x = games won
and y = games lost
.
From:"A baseball team plays 162 games" we get equation 1:
x + y = 162
.
From:"the team won 34 more games than it lost" we get equation 2:
x = y + 34
.
the system of equation is:
x + y = 162
x = y + 34
.
modify the second equation and add both:
x + y = 162
x - y = 34
-------------
2x = 196
x = 98 (games won)
.
Find games lost by substituting above into:
x + y = 162
98 + y = 162
y = 162-98
y = 64 (games lost)