Question

Simplify 2x + 11y - 1 + 5x - 3y + 7 a 13xy + 2xy + 6 B 13 XY + 2xy - 6 c 7 x + 8y + 6 D 7x + 8y - 6

Answer 1

To simplify the expressions provided, we'll combine like terms for each option.

1. **For A: \(2x + 11y - 1 + 5x - 3y + 7\)**

Combine the \(x\) terms:
\[
2x + 5x = 7x
\]

Combine the \(y\) terms:
\[
11y - 3y = 8y
\]

Combine the constant terms:
\[
-1 + 7 = 6
\]

Therefore, the simplified expression is:
\[
7x + 8y + 6
\]

2. **For B: \(13xy + 2xy + 6\)**

Combine the \(xy\) terms:
\[
13xy + 2xy = 15xy
\]

Therefore, the simplified expression is:
\[
15xy + 6
\]

3. **For C: \(13XY + 2xy - 6\)** (note the capital Y)

There are no like terms to combine since \(XY\) and \(xy\) are treated as different variables. Thus, the expression remains:
\[
13XY + 2xy - 6
\]

4. **For D: \(7x + 8y - 6\)****

This expression is already simplified and remains:
\[
7x + 8y - 6
\]

In summary:
- A simplifies to \(7x + 8y + 6\)
- B simplifies to \(15xy + 6\)
- C remains \(13XY + 2xy - 6\)
- D remains \(7x + 8y - 6\)