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1 August, 14:58

Frank solves the system of equations using the linear combination method. 2x+3y=-1

3x-5y=10

Which steps would allow him to eliminate the y terms in the system of equations?

Multiply 2x+3y=-1 by 3. Multiply 3x-5y=10 by 5. Add the resulting equations together.

Multiply 2x+3y=-1 by 3. Multiply 3x-5y=10 by 2. Add the resulting equations together.

Multiply 2x+3y=-1 by 2. Multiply 3x-5y=10 by 5. Add the resulting equations together.

Multiply 2x+3y=-1 by 5. Multiply 3x-5y=10 by 3. Add the resulting equations together.

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Answers (1)
  1. 1 August, 16:50
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    Multiply 2x + 3y = - 1 by 5. Multiply 3x - 5y = 10 by 3. Add the resulting equations together.

    Step-by-step explanation:

    To eliminate the y-term. we must multiply both equations by values that make the coefficients of y opposite in sign.

    2x + 3y = - 1 (1)

    3x - 5y = 10 (2)

    The easiest way to do this is to multiply Equation (1) by 5

    and Equation (2) by 3.

    5 * [2x + 3y = - 1]

    3 * [3x - 5y = 10]

    Then, add the two equations.

    10x + 15y = - 5

    9x - 15y = 30

    19x = 25

    Conclusion: Multiply 2x + 3y = - 1 by 5. Multiply 3x - 5y = 10 by 3. Add the resulting equations together.
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