x² - y = -2 .................. equation 1
-x + y = 4 .................. equation 2 from the y's we can obtain y - y = 0
the new equation will be
x² - x = 2 to for a quadratic equation make the equation equals to zero
x² - x - 2 = 0
x² - 2x + x - 2 = 0 using factorization method
x(x - 2) + 1(x - 2) = 0
(x + 1)(x - 2) = 0
x + 1=0 and x - 2=0
x = -1 or 2
subtitute x= -1 in equation 2 subtitute x= 2 in equation 2
-(-1) + y = 4 -(2) + y = 4
1 + y = 4 -2 + y = 4
y= 4 - 1 y= 4 + 2
y= 3 y= 6
the values of x are -1 and 2 . The values of y are 3 and 6
when x is -1, y is 3
when x is 2, y is 6...