Question

Verify that (x÷y)-1 = x-1÷ y-1 by taking x=-5/11, y=7/3

Answer 1

Answer:

It isn't correct/ both sides aren't equal

Step-by-step explanation:

NOTE: I don't know if any of the numbers were put in wrong because I  double checked this and ran it through a calculator and it still wasn't equal

To verify that the equation is correct, we need to plug in the values of x and y. When we plug in the values for x and y, we get the new equation:

$(\frac{-5}{11}/\frac{7}{3})-1=\frac{-5}{11} -1/\frac{7}{3} -1$

Next, we need to use PEMDAS ( parenthesis, exponents, multiplication, division, addition, subtraction ):

P ( parenthesis ):

$\frac{-5}{11} /\frac{7}{3}$ or $\frac{-5}{11} *\frac{3}{7} = \frac{-15}{77}$

Now we have the new equation:

$\frac{-15}{77} -1=\frac{-5}{11} -1/\frac{7}{3} -1$

E ( exponents ): Nothing to do here

M ( multiplication ): Nothing to do here

D ( division ):

$-1/\frac{7}{3}$ or $-1*\frac{3}{7} =\frac{3}{7}$

Now we have the new equation:

$\frac{-15}{77} -1=\frac{-5}{11}- \frac{3}{7} -1$

A ( addition ): Nothing to do here

S ( subtraction ):

$\frac{-15}{77} -1=\frac{-92}{77}$

$\frac{-5}{11}- \frac{3}{7} -1=\frac{-145}{77}$

So, after all of this work, we know that this equation is NOT correct.

Hope this helped

- Brooklyn

( PS, please mark this as the brainliest answer! )