Question

If M = 10xy +3y−4 and N = 9y+5xy+14 , then what is M−N ?(1 point) Responses 5xy−6y−18 5 x y minus 6 y minus 18 −5xy−6y−18 negative 5 x y minus 6 y minus 18 5xy+8y+18 5 x y plus 8 y plus 18 5xy+6y−14 5 x y plus 6 y minus 14 15xy+6y+14

Answer 1

what is the answer

Answer 2

To find \( M - N \), we first need to write out the expressions for \( M \) and \( N \):

\[
M = 10xy + 3y - 4
\]
\[
N = 9y + 5xy + 14
\]

Now, we subtract \( N \) from \( M \):

\[
M - N = (10xy + 3y - 4) - (9y + 5xy + 14)
\]

Distributing the negative sign in front of \( N \):

\[
M - N = 10xy + 3y - 4 - 9y - 5xy - 14
\]

Now, combine like terms:

1. For \( xy \) terms:
\[
10xy - 5xy = 5xy
\]

2. For \( y \) terms:
\[
3y - 9y = -6y
\]

3. For constants:
\[
-4 - 14 = -18
\]

Putting it all together, we have:

\[
M - N = 5xy - 6y - 18
\]

Therefore, the result is:

\[
\boxed{5xy - 6y - 18}
\]

Answer 3

The answer to \( M - N \) is:

\[
\boxed{5xy - 6y - 18}
\]

This matches the option you provided: \( 5xy - 6y - 18 \).