2.7k views
9 votes
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.

User Smogg
by
8.4k points

2 Answers

12 votes

Answer:

D,E

Explanation:

User Tim Lloyd
by
9.2k points
9 votes

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

Explanation:

hope this helps

User TToni
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories