Solve the pair of linear equations 3x + 2y = 8 and 2x + 3y = 7. The value of (x, y) is
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3x + 2y = 8---------------(1)
2x + 3y = 7.---------------(2)
add equation(1) and (2)
3x + 2y = 8---------------(1)
2x + 3y = 7.---------------(2)
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5x+5y=15
divide both the side by 5
x+y=5----------(3)
subtract eq (1) and (2)
3x + 2y = 8---------------(1)
2x + 3y = 7.---------------(2)
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x-y=1------------(4)
add eq (3) and (3)
x+y=5--------(3)
x-y=1----------(4)
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2x=6
x=6/2
x=3
putting x=3 in eq (3)
x+y=5--------(3)
3+y=5
y=5-3
y=2
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Answer:
the value of x is 1 and y is 0
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