SOLUTION: x-2y=2 and x^2+5x+3y=3

Algebra ->  Proportions  -> Lessons -> SOLUTION: x-2y=2 and x^2+5x+3y=3      Log On


   

Question 981149: x-2y=2 and x^2+5x+3y=3
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
What did you want with these? Solution for the two as a system? If that, you can solve first equation for x in terms of y, and then substitute this for x in the second (quadratic) equation.

%282y%2B2%29%5E2%2B5%282y%2B2%29%2B3y=3

4y%5E2%2B8y%2B4%2B10y%2B10%2B3y=3

4y%5E2%2B21y%2B14=3

4y%5E2%2B21y%2B11=0
This is not easily factored.
y=%28-21%2B-+sqrt%28567%29%29%2F8-------after steps from formula of general solution to quadratic equation
.
y=%28-21%2B-+9sqrt%287%29%29%2F8-----------and you can find the x values corresponding to each of these.