Question

an expression is added to 2x+7y-4z to obtain 6z.what is that expression​

Answer 1

Answer:

Let added expression be A, then A + (2x + 7y – 4z) = 6z

A = 6z – (2x + 7y – 4z)

= 6z – 2x – 7y + 4z

= –2x – 7y + 10z

Answer 2

Answer :

• The expression is -2x - 7y + 10z.

Step by step explanation :-

To find :-

• The expression.

Solution :

Given that ,

• an expression is added to 2x+7y-4z to obtain 6z.

$\longmapsto \bf 6z - (2x + 7y - 4z) \\ \\ \\ \longmapsto \bf 6z - 2x - 7y + 4z \\ \\ \\ \longmapsto \bf - 2x - 7y + 4z + 6z \\ \\ \\ \longmapsto \bf - 2x - 7y + 10z$

Hence, The expression is -2x - 7y + 10z.

Verification:

${\longmapsto \bf 2x+7y-4z + -2x - 7y + 10z = 6z} \\ \\ \\ \longmapsto \bf- 2x + 2x + 7y - 7y + 10z - 4z = 6z \\ \\ \\ \longmapsto \bf 0 + 0 + 10z - 4z = 6z \\ \\ \\ \longmapsto \bf 6z = 6z$

Hence, Verified!