Question 599458
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? 
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Let x = games won
and y = games lost
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From:"A baseball team plays 162 games" we get equation 1:
x + y = 162
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From:"the team won 34 more games than it lost" we get equation 2:
x = y + 34
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the system of equation is:
x + y = 162
x = y + 34
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modify the second equation and add both:
x + y = 162
x - y =  34
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2x    = 196
x = 98 (games won)
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Find games lost by substituting above into:
x + y = 162
98 + y = 162
y = 162-98
y = 64 (games lost)