Q4 of 50 Page 9

Subtract 3x-4y-7z from the sum of x-3y+2z and -4x+9y-11z.

Sum of x – 3y + 2z and -4x + 9y – 112


= (x – 3y + 2z) + (-4x + 9y – 112)


= x – 4x – 3y + 9y + 2z – 112


= -3x + 6y – 92


The resultant expression has to be subtracted


i.e. 3x – 4y – 72


= (-3x + 6y – 92) – (3x – 4y – 72)


= -3x – 3x + 6y + 6y – 9z + 7z


= -6x + 10y – 2z


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