Question

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

A.-8y-8x
B.-8y+7x
C.2y-7x
D.8y+8x

Answer 1

B: -8y + 7x

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.

Answer 2

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

-3y-x-5y+8x

Collect like terms

-8y+7x