Question

Simplify the following
i)6x - 3y + 9x + 2y - (-x + y)
ii) (4x + 5y ) - (-3y + y)

Answer 1

Answer :-

i] 6x - 3y + 9x + 2y - (-x + y)

= 6x - 3y + 9x + 2y + x - y

= 16x - 3y + 2y - y

= 16x - 4y + 2y

= 16x - 2y

= 2(8x - y) Answer.

ii] (4x + 5y ) - (-3y + y)

= 4x + 5y + 3y - y

= 4x + 8y - y

= 4x + 7y Answer.

Additional information :-

• To simplify a equation, we've to plus/minus the terms that include the same variable. Like we can't add 4x & 2y. We can add 4x with 2x (4x + 2x = 6x) or, 3y with 6y (3y + 6y = 9y)
• Minus into minus becomes a plus. (- × - = +)
• Plus into plus remains a plus. (+ × + = +)
• Plus into minus becomes a minus. (+ × - = -)
• For eg., 5x × (-7) = -35x [Since, 5x has a plus sign and 7 has a minus sign.]

Answer 2

$\sf i)\:6x - 3y + 9x + 2y - (- x + y)$

$= \sf 6x - 3y + 9x + 2y + x - y$

$= \sf 6x + 9x + x - 3y + 2y - y$

$=\sf 16x - 2y$

$= \underline{\boxed{\blue{\sf2 (8x - y)}}}$

$\sf ii)\:(4x + 5y) - (- 3y + y)$

$= \sf 4x + 5y + 3y - y$

$=\underline{\boxed{\blue{\sf 4x + 7y}}}$

__________________________________

Additional Information :-

1) + × + = +

★ Example :-

• 5x × 2x = 10x²

2) + × - = -

★ Example :-

• 5x × ( - 2x) = - 10x²

3) - × - = +

★ Example :-

• ( - 5x) × ( - 2x) = 10x²

__________________________________