Ask Question
28 June, 19:35

Michiko claims that to solve the system of linear equations 15x+8y=1 and 21x+4y=-13, instead of multiplying the second equation by - 2 and then adding the equations, she could multiply the second equation by 2 and then subtract the second equation from the first equation. Which statement is correct?

A Michiko is right for this system of linear equations, but her method will not

work for other systems of linear equations.

B Michiko is right for this system of linear equations, and her method will also work for other systems of linear equations.

C Michiko is wrong because her method will give the opposite of the correct value for x for any system of linear equations.

D Michiko is wrong because her method will give the opposite of the correct value for y for any system of linear equations.

+1
Answers (1)
  1. 28 June, 22:58
    0
    For this case we have the following equations:

    15x + 8y = 1

    21x + 4y = - 13

    We can rewrite the system as:

    15x + 8y = 1

    -42x-8y = 26

    Or equivalently:

    15x + 8y = 1

    42x + 8y = - 26

    Next we have:

    Method 1:

    Add equations:

    -27x = 27

    Method 2:

    Subtract equations:

    -27x = 27

    Therefore, both methods work correctly.

    Answer:

    B Michiko is right for this system of linear equations, and her method will also work for other systems of linear equations.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Michiko claims that to solve the system of linear equations 15x+8y=1 and 21x+4y=-13, instead of multiplying the second equation by - 2 and ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers