Question

Add: $9a+7b-6c$ and $3b+2a+13c$

• A. $11a+10b+7c$
• B. $11a+10b+6c$
• C. $10a+11b+7c$
• D. $10a+7b+11c$

Answer 1

The correct option is A $11a+10b+7c$

We are having two algebraic expressions as $9a+7b-6c$ and $3b+2a+13c$ and we need to add them.

Addition of the two given expressions can be shown as:
$(9a+7b-6c)+(3b+2a+13c)$

Like terms in the above two algebraic expressions can be shown as:


In the above algebraic expression, combining the like terms together:
$(9a+2a)+(7b+3b)+(-6c+13c)$
Now, adding the like terms:
$=11a+10b+7c$

As a result, the value of the sum of the expressions $\underset{–}{9a+7b-6c}$ and $\underset{–}{3b+2a+13c}$ is $\underset{–}{11a+10b+7c}$.

Therefore, option (a.) is the correct answer.