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

Question

3 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] · Answer 1 · 2022-01-28T17:08:48+03:00

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

fredd [130] · Answer 2 · 2022-01-28T18:59:37+03:00

fredd [130]3 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: