Question

13. What must be added to 3x + y to get 2x + 3y
(a) 5x + 4y
(b) -x + 2y
(c) x - 2y​

Answer 1

Given,

The polynomial 3x+y is given.

To find,

The polynomial that must be added in 3x+y to get 2x+3y

Solution,

-x + 2y must be added to 3x + y to get 2x + 3y.

We can simply let the polynomial which must be added to 3x+y to get 2x+3y to be A

According to the condition

A+ 3x + y = 2x + 3y

            A = 2x -3x +3y-y

            A = -x + 2y

Hence, (b) -x + 2y must be added to 3x + y to get 2x + 3y.

Answer 2

Step-by-step explanation:

Given: The polynomial is $3x+y$ given.

To find: The polynomial that must be added in $3x+y$ to get $2x+3y$.

For calculation of the polynomial to be added,

Let us assume $A$ to be the missing polynomial,

We know that $3x+y + A = 2x+3y$

Thus,

⇒ $3x+y + A = 2x+3y$

⇒ $A= 2x+3y-3x-y$

⇒$A= 2x -3x +3y-y$

⇒ $A= -x+2y$

Hence, B. $-x + 2y$ must be added to $3x + y$ to get $2x + 3y.$