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grigory [225]
3 years ago
8

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 sy

stem of linear of the equation by elimination
Mathematics
2 answers:
timurjin [86]3 years ago
8 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

Ugo [173]3 years ago
7 0

Answer:

Jeans=18

Shirts=5

5j+10s=140

3j+5s=79

Step-by-step explanation:

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

   -2(3j+5s=79)

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

   -6j-10s=-158

3) -j= -18                                  <em>variable one found.</em>

4) 5(-18) + 10s = 140              <em>substitute j .</em>

5) 90 + 10s = 140                 <em>subtract 90.</em>

6) 10s = 50                           <em>divide by 10.</em>

7) s = 5                                 <em>variable 2 found.</em>

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

9) 54 + 25 = 79                   <em>solve.</em>

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