Question

Simplify each of the following expressions.
(a) 15x + (-7y) + (-18x) + 4y
(b) -3x + (-5y) - (-10y) - 7x
(c) 9x - (-2y) - 8x - (-12y)
(d) -7x- (-15y) - (-2x) + (-6y)​

Answer 1

Step-by-step explanation:

(a) 15x + (-7y) + (-18x) + 4y

=15x - 7y -18x + 4y

=15x - 18x + 4 y - 7y

= - 3x - 3 y

= -3 ( x + y )

(b) -3x + (-5y) - (-10y) - 7x

= -3x - 5y + 10y -7x

= -3x - 7x + 10 y - 5y

= - 10 x + 5 y

= - 5 ( 2x - y ).

(c) 9x - (-2y) - 8x - (-12y)

= 9x + 2 y –8 x + 12y

= 9x - 8 x +12y + 2y

= x + 14 y

(d) -7x- (-15y) - (-2x) + (-6y)

= -7x + 15y + 2x - 6y

= 2x - 7x + 15y - 6y

= - 5x + 9 y

Answer 2

Answer:

(a) 15x + (-7y) + (-18x) + 4y

=15x + (-18x) + (-7y) + 4y

=15x - 18x - 7y + 4y

= -3x -3y

= - ( 3x + 3y )

= -3 ( x + y )

(b) -3x + (-5y) - (-10y) - 7x

= -3x - 5y + 10y - 7x

= -3x -7x -5y + 10y

= -10x + 5y

(c) 9x - (-2y) - 8x - (-12y)

= 9x + 2y - 8x + 12y

= 9x -8x + 2y + 12y

= x + 14y

(d) -7x- (-15y) - (-2x) + (-6y)

= -7x + 15y + 2x - 6y

= -7x + 2x - 6y + 15y

= -5x + 9y