Question

Which expressions are equivalent to 5 x-15? Select three options.

Answer 1

Answer:

$b) 5 (x-3)\\c) 4 x + 3 y-15- 3 y + x\\e) -20 - 3 x + 5 + 8 x$

Step-by-step explanation:

We are given the following expression in the question:

$5x-15$

a)

$5 (x + 15)\\=5(x) + 5(15)\\=5x + 75$

which is not equivalent to the given expression.

b)

$5 (x-3)\\=5(x)-3(5)\\=5x-15$

which is equivalent to the given expression

c)

$4 x + 3 y-15- 3 y + x\\=4x+x+3y-3y-15\\=5x-15\\=5(x-3)$

which is equivalent to the given expression.

d)

$-7 y-6 x- 8 y + x\\=-7y-8y-6x+x\\=-15y-5x\\=-5(x+3y)$

which is not equivalent to the given expression.

e)

$-20 - 3 x + 5 + 8 x\\=-3x+8x-20+5\\=5x-15$

which is equivalent to the given expression.