Question

Solve the simultaneous equations 2x + y =7, xy - x² = 4.

Answer 1

Answer:

x = 1, 4/3

Step-by-step explanation:

= 2x + y =7, ----------eq1

from eq1 we get y=7-2x---------eq2

= xy - x² = 4--------eq3

= x(y - x) = 4

= x(7-2x-x) =4

=x(7-3x) = 4

=3x^2-7x+4

=3x^2-3x-4x+4

=3x(x-1)-4(x-1)

= (x-1)(3x-4)

= x = 1, 4/3