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 \(7x + 8y - 6\)