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

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) (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)

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