s28285625
Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Consider the following system of equations.
1.75x + 1.25y = 2.75
7x + 5y = 9
What is the solution to the system?
Choose the correct response.
A. Since 11 ≠ 9, there is no solution.
B. Since 0 = 0, there are infinitely many solutions.
C. There is one solution, x = 0 and y = 0.
D. There are two solutions, the points (11, 0) and (0, 9).

Sagot :

mhanifa

Answer:

  • A. Since 11 ≠ 9, there is no solution

Step-by-step explanation:

Given system:

  • 1.75x + 1.25y = 2.75
  • 7x + 5y = 9

Multiply the first equation by 4:

  • 4(1.75)x + 4(1.25)y = 4(2.75)
  • 7x + 5y = 11

We get same equation as the second one with the difference that the right side equals to 11.

Since left sides are same and right sides are different, the system has no solution.

Correct choice is A

Step-by-step explanation:

1.75x + 1.25y = 2.75 (1)

7x + 5y = 9 (2)

On multiplying EQ. 1 by 4

4(1.75x + 1.25y) = 4(2.75)

7x + 5y = 11 (3)

We get the same LHS as equation 2 but not same RHS as equation 2

Option A is correct

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.