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.

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

x + 107

step-by-step explanation:

let's say that the number he had before the mistake was x. then, he will have 107 dollars more than this, so the answer is x + 107.

black/brown

step-by-step explanation:

well, you see here, jamal was born to 2 parents, his mother who he lives with and his father who left at a young age and who happens to be younger than him. he stole cookies because he has to steal food due to the fact that he spends his government poverty checks on pot and women.