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7 April, 01:33

A system of equations is shown below.

2x-y=5

x+3y=0

Which statement is true regarding this system?

A - to solve the system, multiply the second equation by 2 and then add the result to the first equations

B - to solve the system, multiply the first equation by 3 and then add the result to the second equation.

C - the system has no solution since the second equation is equal to 0.

D - the system has infinitely many solutions since the second equation is equal to 0

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Answers (1)
  1. 7 April, 03:33
    0
    B - to solve the system, multiply the first equation by 3 and then add the result to the second equation.

    I:2x-y=5

    II:x+3y=0

    I*3=6x-3y=15

    I*3+II: 6x-3y+x+3y=15+0

    7x=15

    x=15/7

    insert x=15/7 into II:

    (15/7) + 3y=0

    3y=-15/7

    y=-5/7
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