solve linear-quadratic system algebraically. then what is the x coordinate of the solution? show all work.

y – 5 = (x – 2)^2
x + 2y = 6

x =

Step-by-step explanation:

To solve quadratic systems,we always substitute one variable in terms if the other and then solve the equation.

x + 2y = 6                                 ---------------(1)

y - 5 =         ---------------(2)

y = + 5         ---------------(3)

Substitute (3) in (1) ,

x + 2( + 5 ) = 6

=

x + 2( + 5 ) = 6

     --------------(4)

The roots of the quadratic equation is

x =  -----------(5)

According to equation (5),solution of (4) is

x =  

x =  

x =

b

step-by-step explanation: