Question

Which expression is equivalent to 15

5x+10y - 15?
A) 5(x+2y- 3)
B)5(x+2y+3)
C) 5(x+2y+1)
D) 5(x+2y-1)

Answer 1

The expression 15 - 5x + 10y - 15 can be simplified to 5(-x + 2y), which corresponds to option A) 5(x+2y-3).

Step-by-step explanation:

The expression 15 - 5x + 10y - 15 can be simplified as follows:

1. Combine like terms (-15 and 15) to get 0: 0 - 5x + 10y
2. Factor out the common factor of 5: 5(0 - x + 2y)
3. Simplify further: 5(-x + 2y)

Therefore, the equivalent expression is 5(-x + 2y), which corresponds to option A) 5(x+2y-3). This reveals the transformation of the original equation into an equivalent expression by factoring out the common factor and rearranging the terms, thereby aligning with the provided option.