Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
The step that is the part of the process of algebraically solving the given system of equations is (C) 4x – 10 = x2 – 5x + 10 and (E) 0 = x2 – 9x + 20.
What is an equation?
- An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.
To find the step that is the part of the process of algebraically solving the given system of equations:
That would be:
(C) 4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substituted for y).
Proof:
- y + 5x = x² + 10
- (4x - 10) + 5x = x² + 10
- 4x - 10 = x² -5x + 10
(E) 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
Therefore, the step that is part of the process of algebraically solving the given system of equations is (C) 4x – 10 = x2 – 5x + 10.
Know more about equations here:
https://brainly.com/question/13763238
#SPJ4
The complete question is given below:
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Check all that apply.
(A) y = x2 + 5x + 10
(B) y + 5x = x2 + 10 + 4x – 10
(C) 4x – 10 = x2 – 5x + 10
(D) 0 = x2 – 9x
(E) 0 = x2 – 9x + 20
(F) One x-value of a solution to the system is 4.
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.