Question

Rewrite the simplest term for ( -x-7y) - (-3x+9y)

Answer 1

Answer:2(x−8y)

Explanation:

To find the opposite of −3x+9y, find the opposite of each term.

−x−7y−(−3x)−9y

The opposite of −3x is 3x

.−x−7y+3x−9y

Combine −7y and −9y to get −16y

.−x−16y+3x

Combine −x and 3x to get 2x.

2(x-8y)

Answer 2

2x - 16y

Explanation:

To rewrite the expression in the simplest term, we can distribute the negative sign in the second set of parentheses:

( -x-7y) - (-3x+9y)

= -x-7y + 3x-9y

Then, we can combine the x and y terms:

= -x + 3x - 7y - 9y

Finally, we can simplify the expression by canceling out the x terms:

( -1 + 3 )x - 7y - 9y

= 2x - 16y

Therefore, the simplest term for the expression is 2x - 16y.