Question

7What are the solutions to the equation x--=6?ХO x= -7 and x = 1O x= -6 and x = -1O x= -1 and x = 7O x= 1 and x = 6

Answer 1

We will have the following:

*We test each scenario, that is:

** x = -7 & x = 1:

$(7)-\frac{7}{7}=6\Rightarrow6=6$

&

$(1)-\frac{7}{1}=6\Rightarrow-6\ne6$

So, the first option is not.

** x = -6 & x = -1:

$(-6)-\frac{7}{-6}=6\Rightarrow-\frac{29}{6}\ne6$

So, the second option is not.

** x = -1 & x = 7:

$-1-\frac{7}{-1}=6\Rightarrow6=6$

&

$7-\frac{7}{7}=6\Rightarrow6=6$

So, the third option is the solution.