Solve the following equations for 'x' and 'y'.
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Answers
Step-by-step explanation:
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Answer:
x = 2, y = 3
Step-by-step explanation:
Given Equations are :
62x + 37y = 13 ----- (1)
37x + 62y = -122 ----- (2)
Subtracting (1) from (2), we get
62x + 37y - 37x - 62y = 13 + 122
=> 25x - 25y = 135
It cannot be solved.
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Given Equations should be,
62x + 37y = 13 ----- (1)
37x + 62y = -112 ------ (2)
Subtracting (1) from (2), we get
62x + 37y - 37x - 62y = 13 + 112
=> 25x - 25y = 125
=> x - y = 5
Adding (1) and (2), we get
62x + 37y + 37x + 62y = 13 - 112
=> 99x + 99y = -99
=> x + y = -1
Now,
Solve both the equations.
x - y = 5
x + y = -1
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2x = 4
x = 2
Place x = 2 in above equation.
x - y = 5
2 - y = 5
y = 3
Therefore,
x = 2 and y = 3
Hope it helps!