What should be added to 3x- 4y - 4z to get the sum of 4x + 6y - 2z and 2x - 3y -9z?
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Step-by-step explanation:
Let us add the given expressions 5x−8y+2z,3z−4y−2x,6y−z−x and 3x−2z−3y as shown below:
(5x−8y+2z)+(3z−4y−2x)+(6y−z−x)+(3x−2z−3y)
=5x−8y+2z+3z−4y−2x+6y−z−x+3x−2z−3y
=(5x−2x−x+3x)+(−8y−4y+6y−3y)+(2z+3z−z−2z)(Combiningliketerms)
=(5−2−1+3)x+(−8−4+6−3)y+(2+3−1−2)z
=5x−9y+2z
Hence, (5x−8y+2z)+(3z−4y−2x)+(6y−z−x)+(3x−2z−3y)=5x−9y+2z.
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