MATH SOLVE

4 months ago

Q:
# 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

Accepted Solution

A:

Answer:The given equation is NOT justified.Step-by-step explanation:Here, the given equation is [tex](\frac{-1}{2}x + \frac{6}{7} ) - (\frac{7}{2}x - \frac{4}{7} )[/tex] = [tex]-4x + \frac{2}{7}[/tex]Now, here Consider the left hand side and simplifying the left side by operating on the like terms, ⇒[tex](\frac{-1}{2}x + \frac{6}{7} ) - (\frac{7}{2}x - \frac{4}{7} )[/tex] = [tex]\frac{-1}{2}x + \frac{6}{7} - \frac{7}{2}x + \frac{4}{7} = (\frac{-1}{2}x -\frac{7}{2}x) + (\frac{6}{7} + \frac{4}{7})[/tex]=[tex](\frac{-1 - 7}{2}x ) + (\frac{6 + 4}{7} ) = \frac{-8x}{2} + \frac{10}{7} \neq -4x + \frac{2}{7}[/tex]Here, Left side of equation ≠ Right side of the equation Hence, [tex](\frac{-1}{2}x + \frac{6}{7} ) - (\frac{7}{2}x - \frac{4}{7} )[/tex] ≠ [tex]-4x + \frac{2}{7}[/tex]