Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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.

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.

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.