Renee wants to solve the system of equations. Which number can she multiply the first equation by so that when the two equations are added t

Question

Renee wants to solve the system of equations. Which number can she multiply the first equation by so that when the two equations are added together, the y term is eliminated?

Two-thirds x + one-fifth y = 6

One-sixth x minus 3 y = 8

A.-15
B.-5
C.5
D.15

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Nem 5 years 2021-08-18T12:52:53+00:00 2 Answers 32 views 0

Answers ( )

  1. mit
    0
    2021-08-18T12:54:16+00:00
    Reply

    Answer:

    Multiply the first equation by 15 (Answer D)

    Step-by-step explanation:

    Writing these equations symbolically, we have:

    (2/3)x + (1/5)y = 6

    (1/6)x – 3y = 8

    Which number can she multiply the first equation by so that when the two equations are added together, the y term is eliminated?  After this multiplication, we should have +3y in the first equation; then 3y – 3y = 0 as desired.  The coefficient of the y term in the first equation is (1/5), whereas we want it to be +3.  

    Multiplying the first equation by 15, we get 10x + 3y = 90.

    Then our system is:

    10x + 3y = 90

    (1/6)x – 3y = 8

    ———————

    (61/6)x = 98    (the variable y has been temporarily eliminated).

  2. thachthao
    0
    2021-08-18T12:54:38+00:00
    Reply

    Answer:

    eliminate D

    Step-by-step explanation:

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