Question

The sum of 7x+3y and -4x-2y is *

1 point​

Answer 1

Answer:

3x+y

Step-by-step explanation:

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

= 7x+3y-4x-2y

= 7x-4x+3y-2y

= 3x+y

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

Above both terms are like terms as they have same variable 'x' and 'y' in both the terms.

Concept:

Two different like terms can be added or subtracted.

Example let's suppose two different like terms

say :2x+3y and 3x+5y

Addition=>5x+8y

Subtraction=> 3x-2x and 5y-3y

ㅤㅤㅤㅤㅤㅤ=>x+2y

$7x + 3y \: and \: - 4x - 2y$

=>Here ,two terms are 7x+3y and -4x-2y both terms are monomial as the highest power is 1

Sum :

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

=>Taking like terms together to make answer more suitable.

$= > 7x - 4x + 3y - 2y$

$= > 3x + y$

Thus,the sum of 7x+3y and -4x-2y is$\bold{\red{ 3x+y}}$