Question

Simplify the following expression: (x + 6y) − (3x − 10y). If the final answer is written in the form Ax + By, what is the value of A?

Answer 1

-2

becasue we

-2x-4y

-2 = A

Answer 2

Answer: The value of A is -2.

Explanation:

Since we have given that

`(x+6y)-(3x-10y)`

We need to change it in the form of Ax+By.

So, it becomes,

`x+6y-3x+10y\\\\=(x-3x)+(6y+10y)\\\\=-2x+16y`

Now, we will equate this with Ax+By:

By comparing the coefficient of x and y:

`-2x+16y=Ax+By\\\\\implies A=-2\\\\and\\\\\implies B=16`

Hence, the value of A is -2.