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Sagot :
Answer:
1) The system of equations are;
y - 2·x = 5
y + x = 38
2) y = 27 World Series championships
x = 11 World Series championships
Step-by-step explanation:
1) The number of World Series championships won by the Yankees = y
The second most-winning team = The St. Louis Cardinals
The number of World Series championships won by the St, Louis Cardinals = x
From the details of the number of World Series won by the Yankees and the St. Louis Cardinals we are given, we can write the following system of equations to find the number of World Series championships won by the Yankees, 'y', and the number of World Series championships won by the Cardinals, 'x' as follows;
y - 2·x = 5...(1)
y + x = 38...(2)
2) Making 'y' the subject of both equations gives;
For equation (1)
y = 5 + 2·x
For equation (2)
y = 38 - x
Equating both 'y' values gives;
y = 5 + 2·x = 38 - x
2·x + x = 38 - 5
3·x = 33
∴ x = 33/3 = 11
The number of World Series championships won by the St, Louis Cardinals, x = 11 World Series championships
From y = 38 - x, we have;
y = 38 - x
∴ y = 38 - 11 = 27
Therefore, the number of World Series championships won by the Yankees, y = 27 World Series championships
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