Question

Which expression is equivalent to (Negative 4 y minus x) minus (3 y minus 9 x)?

Negative 7 y minus 8 x
Negative 7 y + 8 x
Negative y minus 10 x
y + 10 x

Answer 1

-7y + 8x

Explanation:

Just took the test

Answer 2

-7y + 8x

Explanation:

The given expression is

`(-4y-x)-(3y-9x)`

To find the equivalent expression, we have to reduce like terms as follows

`(-4y-x)-(3y-9x)\\-4y-x-3y+9x\\-4y-3y-x+9x\\-y(4+3)-x(1-9x)\\-7y+8x`

So, the equivalent expression is

`(-4y-x)-(3y-9x)=-7y+8x`

Therefore, among the options, the right choice is the second one.