Respuesta :

Answer:

the solution is (-2,4)  and (2,0).

Step-by-step explanation:

We have given the system of equation:

y = x²-x-2

y = -x+2

We have to solve it by graphing.

From the graph, it is shown that the solution is the intersecting points of the two equations that is (-2,4)  and (2,0).

The graph is attached.

Ver imagen zainebamir540

Answer:  (2, -4) & (-2, 0)

Step-by-step explanation:

Graph the two equations to see where they intersect. (see attachment)

You can also check your answer by solving algebraically:

y = x² - x - 2     and     y = -x + 2

⇒ x² - x - 2 = -x + 2

       +x  +2   +x +2

  x²            =  4

 √x²          = √4

   x            =  ±2

Substitute x = 2 & x = -2 into one of the equations to solve for y:

y = -x + 2                    y = -x + 2

  = -(2) - 2                     = -(-2) + 2

  =    -4                         =   0

  (2, -4)                         (-2, 0)

Ver imagen tramserran