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18 November, 16:54

you buy 5 pairs of jeans and 10 t-shirts for 140$. your friend buys 3 pairs of jeans and 5 t-shirts for $79. write and solve a system of linear of the equation by elimination

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Answers (2)
  1. 18 November, 19:51
    0
    Jeans=18

    Shirts=5

    5j+10s=140

    3j+5s=79

    Step-by-step explanation:

    1) 5j+10s=140 multiply the bottom row by - 2.

    -2 (3j+5s=79)

    2) 5j+10s=140 add the top and bottom row.

    -6j-10s=-158

    3) - j = - 18 variable one found.

    4) 5 (-18) + 10s = 140 substitute j.

    5) 90 + 10s = 140 subtract 90.

    6) 10s = 50 divide by 10.

    7) s = 5 variable 2 found.

    8) 3 (18) + 5 (5) = 79 check for accuracy by substituting both.

    9) 54 + 25 = 79 solve.
  2. 18 November, 20:36
    0
    J = jeans

    T = t-shirts

    You: 5j + 10t = 140

    Friend: 3j + 5t = 79

    To use elimination in this problem, multiply the second equation by - 2 so that 10t and 5t can cancel out:

    5j + 10t = 140

    -6j - 10t = - 158

    We are left with - j = - 18 or j = 18

    Substitute 18 into any equation. I'll use the first equation:

    5 (18) + 10t = 140

    90 + 10t = 140

    10t = 50

    t = 5
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