Ask Question
13 September, 20:26

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

+1
Answers (2)
  1. 13 September, 22:52
    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
  2. 13 September, 22:52
    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.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “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 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers