Question

5. Add the following terms:
5x -6y,8x+7y,-4x+3y​

Answer 1

Answer:

9x + 4y

Step-by-step explanation:

(5x - 6y) + (8x + 7y) + (-4x + 3y)

5x + 8x - 4x - 6y + 7y + 3y

9x + 4y

Answer 2

Hi friend!

Let's solve your question...

To solve and algebraic expression, we need to move like terms together and then add or subtract thier coefficients.

What are like terms?

Like terms are those which have similar variables and powers. For example:- 2x and 5x are like terms because they have same variable i.e. x.

What are unlike terms?

Unlike terms are those which do not have similar variable. For example:- 2x and 3y. They are unlike terms because there variables are not same that are x and y. Also if powers are not same power, they are called unlike terms. For example:- $\sf2{x}^{2}\:and\:2x$

Though the variables and coefficients are same, but they are unlike terms because their powers are not same.

${\huge{\color{red} {\underline{\underline {\sf{\color{black}{Question:}}}}}}}$

5x-6y+8x+7y+(-4x)+3y

${\huge{\color{blue} {\underline{\underline {\sf{ \color{black}{Solution:}}}}}}}$

5x-6y+8x+7y+(-4x)+3y

Collect the like terms:-

(5x+8x-4x)+(-6y+7y+3y)

Now add and subtract:-

9x+4y

${\large {\color{red} {\underline {\underline{\sf {\color{black}{❥Hope \: it \: helps \: you....}}}}}}}$