Question

Simplify:



left-parenthesis negative 2 x plus y minus 4 right-parenthesis minus left-parenthesis negative 3 x minus 2 y right-parenthesis

Answer options with 4 options
A.
x minus y minus 4

B.
x plus 3 y minus 4

C.
negative 5 x plus y minus 4

D.
negative 5 x plus 3 y minus 4

Answer 1

To simplify the expression \(( -2x + y - 4 ) - ( -3x - 2y )\), follow these steps:

1. Distribute the minus sign across the second set of parentheses:
\[
-2x + y - 4 + 3x + 2y
\]

2. Now, combine like terms:
- For the \(x\) terms:
\(-2x + 3x = x\)
- For the \(y\) terms:
\(y + 2y = 3y\)
- The constant term is:
\(-4\)

Putting it all together, the simplified expression is:
\[
x + 3y - 4
\]

Thus, the answer is **B. \(x + 3y - 4\)**.