solve by the elimination method 5u+3v=-17, 2u+v=-7 would there be a solution or not?

Question

solve by the elimination method 5u+3v=-17, 2u+v=-7  would there be a solution or not?

anonymous · Answer

There is definitely a solution to this system of equations.  Solving this by elimination, you can multiply the second equation by -3:

  5u + 3v = -17
-6u - 3v  = 21

Now add the second equation to the first:

(5 - 6)u + (3 - 3)v = 21 - 17

-u = 4      ->      u = -4

Now, just put that value for "u" into either of the original equations.  Using the first equation:

5(-4) + 3v = -17

-20 + 3v = -17

3v = 3      ->       v = 1

And now you have your values for both "u" and "v" and you're done!

anonymous · Answer

All good now, @tootlescar47 ?

anonymous · Answer

Good luck to you in all of your studies and thx for the recognition! @tootlescar47