Algebra

1) 11x + 2y - 4x - y
2) 9x + 2y -5x
what i did in no. 2 is subtract 9 and 5 then add 2... please correct mw if i am wrong

please ans

1)

11 x + 2 y - 4 x - y = ( 11 x - 4 x ) + ( 2 y - y ) = 7 x + y

2)

9 x + 2y - 5 x = ( 9 x - 5 x ) + 2 y = 4 x + 2 y

In algebra, when you have expressions with variables and coefficients, you can combine like terms by adding or subtracting them. Like terms are terms that have the same variables raised to the same powers.

Let's break down each expression:

1) 11x + 2y - 4x - y
In this expression, we have two terms with the variable x: 11x and -4x. You can combine them by performing the operation of addition or subtraction. Since 11x - 4x = 7x, the first part of the expression becomes 7x.

Similarly, we have two terms with the variable y: 2y and -y. Like before, we can perform addition or subtraction to combine them. 2y - y = y. Thus, the second part of the expression simplifies to y.

Putting it all together, the simplified expression becomes: 7x + y.

2) 9x + 2y - 5x
In this expression, we once again have two terms with the variable x: 9x and -5x. Let's combine them by performing the operation of addition or subtraction. 9x - 5x = 4x. As a result, the first part of the expression simplifies to 4x.

We also have one term with the variable y: 2y. Since there are no other terms with y to combine it with, 2y remains as it is.

Putting it all together, the simplified expression becomes: 4x + 2y.

To summarize, when combining like terms in algebraic expressions, you need to:
1. Identify terms with the same variables.
2. Add or subtract their coefficients to combine them.
3. Leave any unmatched terms as they are.

In your second expression, you correctly combined the terms 9x and -5x to get 4x. However, you incorrectly added 2 to the result. Remember that you only need to combine the terms with the same variables, not the constants. So, the correct simplified expression is 4x + 2y.