The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the

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The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?

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Neala 4 years 2021-08-26T09:25:20+00:00 1 Answers 9 views 0

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  1. taiduc
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    2021-08-26T09:27:07+00:00
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    The question is incomplete, the complete question is:

    The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?

    x + 3y = 42

    2x − y = 14

    A: Multiply the second equation by -3. The solution is x = 12, y = 9.

    B: Multiply the second equation by -2. The solution is x = 12, y = 10.

    C: Multiply the second equation by 2. The solution is x = 15, y = 9

    D: Multiply the second equation by 3. The solution is x = 12, y = 10

    Answer: The correct option is D.

    Step-by-step explanation:

    The elimination method is a technique wherein we eliminate the coefficient of any one variable.

    The given equations are:

    x + 3y = 42

    2x − y = 14

    We multiply the second equation by (3) and the equations formed are:

    x + 3y = 42

    6x − 3y = 42

    The final equation after eliminating the y-term becomes:

    7x = 84

    x = 12

    Putting value of ‘x’ in any of the original equation, we get:

    ⇒ 12 + 3y = 42

    ⇒ 3y = 30

    ⇒ y = 10

    Hence, the correct option is D.

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