Question

solve the following simultaneous equation 2x+3y=5 and x²+xy-2y²=10​

Answer 1

Answer:

use substitution  

from the second equation  y =  (-1-2x) / 3. Plug this into the first equation:-

x^2 + x(-1-2x)  + 2(-1-2x)^2  =  4

         --------        --------

             3                 9

multiply through by 9:-

9x^2 + 3x(-1 - 2x) + 2(-1-2x)^2 = 36

9x^2 - 3x - 6x^2 + 2(1 + 4x + 4x^2) = 36

9x^2 - 3x - 6x^2 + 2 +8x + 8x^2 = 36

11x^2 +5x -34 = 0

which you can solve using the quadratic formula

•   Then substitute the 2 values of x into the second equation to find values of y.pls mark me as brainilist.