Question

From the sum of 3x - 2y + 4z and 7y - 2z. Subtractx - 3y - z.

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Answer 1

Answer:

3x + 8y+ 3z

Step-by-step explanation:

first we add 3x -2y+4z + (7y-2z) = 3x +5y +2z

then we subtract 3x + 5y + 2z - (-3y -z)

= 3x + 5y + 2z +3y + z

= 3x + 8y + 3z

Answer 2

➤ Given:

• First expression:- 3x - 2y + 4z

• Second expression:- 7y - 2z

• Third expression:- x - 3y - z

➤ What To Find:

We have to  

• Subtract the sum of 1st and 2nd expressions.

➤ How To Find:

To find we have to,

• First, find the sum of 1st and 2nd expressions.

• Next, find the difference between the expressions.

➤ Solution:

• Finding the sum of 1st and 2nd expressions.

(3x - 2y + 4z) + (7y - 2z)

Remove the brackets,

⇒ 3x - 2y + 4z + 7y - 2z

Rearrange the like terms,

⇒ 3x - 2y + 7y + 4z - 2z

Solve the first like term,

⇒ 3x + 5y + 4z - 2z

Solve the second like term,

⇒ 3x + 5y + 2z

• Finding the difference between the expressions.

(3x + 5y + 2z) - (x - 3y - z)

Remove the brackets,

⇒ 3x + 5y + 2z - x + 3y + z

Rearrange the like terms,

⇒ 3x - x + 5y + 3y + 2z + z

Solve the first like term,

⇒ 2x + 5y + 3y + 2z + z

Solve the second like term,

⇒ 2x + 8y + 2z + z

Solve the third like term,

⇒ 2x + 8y + 3z

∴ Therefore, the expression is 2x + 8y + 3z.