Question

Which expressionis equal to (-7x+5.1y)-(-9x+5.3y)

a.-11x+2.8y
b.7x+2.8y
c.2x-0.2y
d.11x+13.4y​

Answer 1

The simplified expression for the given expression will be:

c.
`2x-0.2y`

Explanation:

Given expression:

`(-7x+5.1y)-(-9x+5.3y)`

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:

⇒
`-7x+5.1y+9x-5.3y`

Combining like terms

⇒
`-7x+9x+5.1y-5.3y`

The like terms can be evaluated as

`-7x+9x=2x`

`5.1y-5.3y=-0.2y`

Thus, the simplified expression will be:

⇒
`2x-0.2y`