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Consider the following linear equations 4x + 3y - 4z = 3 x - y + z = 1 2x - y = 1The value of x is
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Answer:X=1
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SOLUTION
GIVEN
Consider the following linear equations
4x + 3y - 4z = 3
x - y + z = 1
2x - y = 1
TO DETERMINE
The value of x
EVALUATION
Here the given system of linear equations are
4x + 3y - 4z = 3 - - - - - (1)
x - y + z = 1 - - - - - - - (2)
2x - y = 1 - - - - - - (3)
Multiplying Equation 2 by 4 we get
4x - 4y + 4z = 4 - - - - - - - (4)
Equation 1 + Equation 4 gives
8x - y = 7 - - - - - - (5)
Now Equation 5 - Equation 3 gives
6x = 6
FINAL ANSWER
Hence the required value of x = 1
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