Solve the system of equations and choose the correct ordered pair. 5x+2y= 19 4x – 3y – 6 A (3,5) B. (5-3) C. (5,3) D. (3,2)​

Question

Solve the system of equations and choose the correct ordered pair. 5x+2y= 19 4x – 3y – 6 A (3,5) B. (5-3) C. (5,3) D. (3,2)​

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Jezebel 3 years 2021-08-06T18:00:14+00:00 2 Answers 26 views 0

Answers ( )

  1. nguyetanh
    0
    2021-08-06T18:01:29+00:00
    Reply

    Answer:

    (3,2)

    Step-by-step explanation:

    5x+2y= 19

    4x – 3y = 6

    I will use elimination

    Multiply the first equation by 4

    20x +8y = 76

    Multiply the second equation by -5

    -20x +15y = -30

    Add them together to eliminate x

    20x +8y = 76

    -20x +15y = -30

    —————————

           23y = 46

    Divide by 23

    23y/23 = 46/23

    y =2

    Now find x

    5x+2y =19

    Substitute y=2

    5x+2(2) =19

    5x+4 = 19

    Subtract 4 from each side

    5x +4-4 =19-4

    5x= 15

    Divide by 5

    5x/5 = 15/5

    x=3

    The solution is

    (3,2)

  2. Xavia
    0
    2021-08-06T18:01:59+00:00
    Reply

    Answer:

    D. (3,2)

    Step-by-step explanation:

    Firstly, eliminate a variable:  

    3(5x+2y = 19 )  

    2(4x-3y = 6)

    Now, plug this value back into one of the equations to get y:  

    5(3)+2y = 19  

    15+2y = 19  

    -15         -15  

    2y = 4  

    /2     /2  

    y = 2

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