Answer:
The simplified expression for the given expression will be:
c. [tex]2x-0.2y[/tex]
Step-by-step explanation:
Given expression:
[tex](-7x+5.1y)-(-9x+5.3y)[/tex]
To simplify the expression.
Solution:
In order to simplify the expression, we will first remove the parenthesis by reversing the signs of the terms inside the parenthesis which lies after a negative sign out side the parenthesis.
This is because negative multiplies to a negative to give a positive and negative multiplies to a positive to give a negative.
So, we have:
⇒ [tex]-7x+5.1y+9x-5.3y[/tex]
Combining like terms
⇒ [tex]-7x+9x+5.1y-5.3y[/tex]
The like terms can be evaluated as
[tex]-7x+9x=2x[/tex]
[tex]5.1y-5.3y=-0.2y[/tex]
Thus, the simplified expression will be:
⇒ [tex]2x-0.2y[/tex]
