Answer: The value of A is -2.
Step-by-step 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.
