Question

3x + (-10x) =
3x + 4 + (-6x) + -3 =
7x - 3y - 9x - 4y =

Explanation:

Step1: Simplify \( 3x + (-10x) \)

Combine like terms. The coefficient of \( x \) in \( 3x \) is 3, and in \( -10x \) is -10. Add the coefficients: \( 3 + (-10) = 3 - 10 = -7 \). So, \( 3x + (-10x) = -7x \).

Step2: Simplify \( 3x + 4 + (-6x) + (-3) \)

First, combine the \( x \)-terms: \( 3x + (-6x) = 3x - 6x = -3x \). Then, combine the constant terms: \( 4 + (-3) = 4 - 3 = 1 \). So, \( 3x + 4 + (-6x) + (-3) = -3x + 1 \).

Step3: Simplify \( 7x - 3y - 9x - 4y \)

Combine the \( x \)-terms: \( 7x - 9x = -2x \). Combine the \( y \)-terms: \( -3y - 4y = -7y \). So, \( 7x - 3y - 9x - 4y = -2x - 7y \).

Answer:

\( 3x + (-10x) = \boldsymbol{-7x} \)
\( 3x + 4 + (-6x) + (-3) = \boldsymbol{-3x + 1} \)
\( 7x - 3y - 9x - 4y = \boldsymbol{-2x - 7y} \)