We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

1) For what value of the constant *a* does the system of equations below have infinitely many solutions?

\( \begin{align*} 3x + 2y &= 8,\\ 6x &= 2a - 7 - 4y \end{align*}\)

I tried over and over again and don't seem to get the right answer. I got 23/6(or sothing like that) for the first time and now 37/6 ...

2) How many numbers between 1 and 2005 are integer multiples of 3 or 4 but not 12?

What trick can I use to solve this quickly?

3) Using the letters X and Y, the following two-letter code words can be formed: XX, XY, YY, YX. Using the letters X, Y, and Z, how many different 3 letter code words can be formed?

Same here...

Thanks in advance!!! i would prefer you answer 1) first.

Guest Sep 5, 2018

#1**+1 **

1) Try a = 23/2. With this value, equation 1 multiplied by 2 is exactly the same as equation 2.

2) Try dividing 2005/3 + 2005/4 - 2005/6. Ignore the fractional parts.

3) If you are allowed to repeat the letters, then you should have: 3^3 = 27

Guest Sep 5, 2018

edited by
Guest
Sep 5, 2018

edited by Guest Sep 5, 2018

edited by Guest Sep 5, 2018