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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.

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

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

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