The model represents an equation. what value of x makes the equation true?

a) 17/2
b) 17/6
c) -17/2
d) -17/6

Option  b) 17/6

Step-by-step explanation:

The equation is an algebraic equation:

This can be expressed as follows:

4x - 8 = -2x + 9

rearranging the terms:

4x + (+2x) = 9 +(+8)

6x = 17

x    = 17/6

Hence option B.

This example represents what are known as directed numbers.

true statements:

a) x + y = y + x   ⇒ commutative property of addition

b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication

d) (x + y) + z = x + (y + z) ⇒ associative property of addition

false statements:

c) x - y = y - x   should be: x - y = - y + x

e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)

step-by-step explanation: