Question

Solve 6/×-3 =x/3

Answer 1

Answer:

X = -3. non-extraneous

Step-by-step explanation:

The given equation is $\frac{6}{x-3} =\frac{x}{3}$

We cross multiply  to get:

$6*3=x(x-3)$

Expand and multiply.

$18=x^2-3x$

$x^2-3x-18=0$

We factor to obtain:

$(x-6)(x+3)=0$

$x=-3,x=6$

Checking for extraneous solutions

Substitute x=-3 $\frac{6}{-3-3} =\frac{-3}{3}$

$\frac{6}{-6} =\frac{-3}{3}$

$-1=-1$

$1=1$.....Non-extraneous

Checking for x=6

$\frac{6}{6-3} =\frac{6}{3}$

$\frac{6}{3} =\frac{6}{3}$

$2=2$....Non-extraneous