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atroni [7]
4 years ago
15

Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Che

ck all that apply.
y = x2 + 5x + 10
y + 5x = x2 + 10 + 4x – 10
4x – 10 = x2 – 5x + 10
0 = x2 – 9x
0 = x2 – 9x + 20
One x-value of a solution to the system is 4.
Mathematics
2 answers:
guapka [62]4 years ago
8 0
That would be :
 4x – 10 = x2 – 5x + 10  ( y = 4x - 10 is substitute for y)

 PROOF:        y + 5x = x²<span> + 10
</span>                      (4x - 10) + 5x = x² + 10
                       4x - 10  =  x² -5x + 10
     <span>
    
</span>0 = x2 – 9x + 20<span>  (liked terms are grouped and simplified)

PROOF:     </span> 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
     

fredd [130]4 years ago
7 0

Answer:

0+x^2-9x+20

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

Step-by-step explanation:

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