Subtract the sum of 13x – 4y + 7z and – 6z + 6x + 3y from the sum

1.	Subtract the sum of 13x – 4y + 7z and – 6z + 6x + 3y from the sum of 6x – 4y – 4z and 2x + 4y – 7.
Answer» First we have to find the sum of 13x – 4y + 7z and – 6z + 6x + 3y Therefore, sum of (13x – 4y + 7z) and (–6z + 6x + 3y) = (13x – 4y + 7z) + (–6z + 6x + 3y) = (13x – 4y + 7z – 6z + 6x + 3y) = (13x + 6x – 4y + 3y + 7z – 6z) = (19x – y + z) Now we have to find the sum of (6x – 4y – 4z) and (2x + 4y – 7) = (6x – 4y – 4z) + (2x + 4y – 7) = (6x – 4y – 4z + 2x + 4y – 7) = (6x + 2x – 4z – 7) = (8x – 4z – 7) Now, required expression = (8x – 4z – 7) – (19x – y + z) = 8x – 4z – 7 – 19x + y – z = 8x – 19x + y – 4z – z – 7 = –11x + y – 5z – 7

Subtract the sum of 13x – 4y + 7z and – 6z + 6x + 3y from the sum of 6x – 4y – 4z and 2x + 4y – 7.

Answer»

First we have to find the sum of 13x – 4y + 7z and – 6z + 6x + 3y

Therefore, sum of (13x – 4y + 7z) and (–6z + 6x + 3y)

= (13x – 4y + 7z) + (–6z + 6x + 3y)

= (13x – 4y + 7z – 6z + 6x + 3y)

= (13x + 6x – 4y + 3y + 7z – 6z)

= (19x – y + z)

Now we have to find the sum of (6x – 4y – 4z) and (2x + 4y – 7)

= (6x – 4y – 4z) + (2x + 4y – 7)

= (6x – 4y – 4z + 2x + 4y – 7)

= (6x + 2x – 4z – 7)

= (8x – 4z – 7)

Now, required expression = (8x – 4z – 7) – (19x – y + z)

= 8x – 4z – 7 – 19x + y – z

= 8x – 19x + y – 4z – z – 7

= –11x + y – 5z – 7