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

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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? 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

1 answer:

antoniya [11.8K] · Answer 1 · 2022-05-25T17:59:44+03:00

IT'S meep 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......