Question

what must be added to 3m+5n to get 11m-4n+7​

Answer 1

Given:

Two expressions:

• 11m - 4n + 7​
• 3m + 5n

What to find?

Expressions that must be added to get 3m + 5n to get 11m - 4n + 7 or (11m - 4n + 7) - (3m + 5n).

How to find?

First remove and solve the brackets and next rearrange the like terms according to their degree and solve the like terms.

Solution:

(11m - 4n + 7) - (3m + 5n)

Remove the brackets,

⇒ 11m - 4n + 7 - 3m - 5n

Rearrange the like terms,

⇒ 11m - 3m - 4n - 5n + 7

Solve the like terms,

⇒ 8m - 9n + 7

So, the answer is 8m - 9n + 7.

To verify:

(8m - 9n + 7) + (3m + 5n) = 11m - 4n + 7

Remove the brackets in LHS,

⇒ 8m - 9n + 7 + 3m + 5n  = 11m - 4n + 7

Rearrange the like terms in LHS,

⇒ 8m + 3m - 9n + 5n + 7 = 11m - 4n + 7

Solve the like terms in LHS,

⇒ 11m - 4n + 7 = 11m - 4n + 7

∴ LHS = RHS

∴ Hence, verified.

Answer 2

Step-by-step explanation:

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