Question

How do you add (5x + y) + (4x + 2y)?

Answer 1

`(5x+y)+(4x+2y)= 5x+y+4x+2y`

`= (5x+4x)+(y+2y)`

`=9x+3y`

Explanation:

For this, we need to to add the x-coefficients and y-coefficients separately.

So I have first removed the brackets, since all the signs are positive, so there will be no change in any signs.

Then we add the x coefficients `5x and 4x`,

which give us answer `9x`.

Similarly, we add y-coefficients `y and 2y`,

which give us answer `3y..`

Finally we get the answer as `9x+3y`

Answer 2

`(5x+y)+(4x+2y)=color(red)(9x+3y)`

Explanation:

`(color(blue)(5x)+color(lime)y)+(color(blue)(4x)+color(lime)(2y))`

can be re-arranged as
`color(white)("XXX")color(blue)(5x)+color(blue)(4x)+color(lime)(y)+color(lime)(2y)`

`color(white)("XXX")=color(blue)(9x)+color(lime)(3y)`