SOLUTION: If the solutions to the two equations below are the same, find the value of k. {{{ (x+7)^2 + (y-3)^2 = 0 }}} ; {{{ -2x+3y=k }}}

Algebra ->  Equations -> SOLUTION: If the solutions to the two equations below are the same, find the value of k. {{{ (x+7)^2 + (y-3)^2 = 0 }}} ; {{{ -2x+3y=k }}}      Log On


   

Question 1188798: If the solutions to the two equations below are the same, find the value of k.
+%28x%2B7%29%5E2+%2B+%28y-3%29%5E2+=+0+ ; +-2x%2B3y=k+
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

The only solution for the first equation is  x= -7,  y= 3.


It gives the value of k  k = -2x + 3y = -2*(-7) + 3*3 = 14 + 9 = 23.


ANSWER.  k = 23.

Solved.