Huntermacd05
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Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Select two options.
y = x2 + 5x + 10
y + 5x = x2 + 10 + 4x – 10
0 = x2 – 9x
0 = x2 – 9x + 20
One x-value of a solution to the system is 4.

Respuesta :

Answer:

That would be :

 4x – 10 = x2 – 5x + 10  ( y = 4x - 10 is substitute for y)

 PROOF:        y + 5x = x² + 10

                     (4x - 10) + 5x = x² + 10

                      4x - 10  =  x² -5x + 10

    0 = x2 – 9x + 20  (liked terms are grouped and simplified)

PROOF:      4x - 10  =  x² -5x + 10

                   4x = x² -5x + 10 + 10

                    0  = x² -5x -4x + 20

                    0  = x² - 9x + 20

Solving:

             x² - 9x + 20 = 0 

             x² - 5x - 4x + 20 = 0

             (x - 5) (x - 4)  = 0

          ⇒ x = 4  (as question says) OR x = 5

Step-by-step explanation:

hope this helps

jeongukkie77

Answer:

D - 0+x^2-9x+20

E - One x-value of a solution to the system is 4

Step-by-step explanation:

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