Question

is (-1/2 x + 6/7) - (7/2 x - 4/7) equivalent to -4 x + 2/7 ? use the properties of operations to justify your answer

Answer 1

The given equation is NOT justified.

Explanation:

Here, the given equation is
`((-1)/(2)x + (6)/(7) )  -  ((7)/(2)x - (4)/(7) )` =
`-4x + (2)/(7)`

Now, here Consider the left hand side and simplifying the left side by operating on the like terms,

⇒
`((-1)/(2)x + (6)/(7) )  -  ((7)/(2)x - (4)/(7) )` =
`(-1)/(2)x + (6)/(7)   -  (7)/(2)x + (4)/(7)  =  ((-1)/(2)x -(7)/(2)x) + ((6)/(7)   + (4)/(7))`

=
`((-1 - 7)/(2)x ) + ((6 + 4)/(7) ) = (-8x)/(2) + (10)/(7)   \\eq -4x + (2)/(7)`

Here, Left side of equation ≠ Right side of the equation

Hence,
`((-1)/(2)x + (6)/(7) )  -  ((7)/(2)x - (4)/(7) )` ≠
`-4x + (2)/(7)`