Which expression is equivalent to (-3y-x) - (5y-8x)

A.-8y-8x

B.-8y+7x

C. 2y-7x

D. 8y+8x

B: - 8y + 7x

Step-by-step explanation:

Start with (-3y-x) - (5y-8x). This is a subtraction problem. Subtract 5y from - 3y, obtaining - 8y. Next, subtract - 8x from - x; this is equivalent to - x - (-8x), or 7x.

Then the difference - x + 8x = 7x.

Combining the x and y results, we get B: - 8y + 7x.

Multiply the negative sign into the second bracket and get rid of both brackets

-3y-x-5y+8x

Collect like terms

-8y+7x