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Stels [109]
3 years ago
11

Solve each system by substitution 2x + y = 20 and 6x - 5y = 12

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

\huge\mathbf{Answer࿐}

\underline{ \underline{ \bf{step} - 1}}

Taking first equation,

  • 2x + y = 20

  • y = 20 - 2x

\underline{ \underline{ \bf{step} - 2}}

plugging the value of y in second equation,

  • 6x - 5y = 12

  • 6x - 5(20 - 2x) = 12

  • 6x - 100 + 10x = 12

  • 16x = 12 + 100

  • x =  \dfrac{112}{16}

  • x = 7

\underline{ \underline{ \bf{step} -3}}

plugging the value of x in first equation,

  • 2x + y = 20

  • (2 \times 7) + y = 20

  • 14 + y = 20

  • y = 20 - 14

  • y = 6

<h2>Conclusion :</h2>

  • x = 7
  • y = 6

____________________________

\mathrm{ \#TeeNForeveR}

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1) No. 28/21 does not end up being equal to 2.
2) No. 45/5 does not equal 18/2
3) No. For something to be proportional, it should at least have the smaller number in the same place.
4) No. 25/12 does not equal 53/40
5) Yes. 4/2 is equal to 14/7
6) Yes. 4/1 is equla to 12/3
7) No. For something to be proportional, it should at least have the smaller number in the same place.
8) No. 44/9 is not equal to 36/11
9) Yes. 10/5 is equal to 16/8
10) Yes. 24/12 is equal to 14/7
11) No. 24/4 is not equal to 42/9
12) Yes. Both equal 1.
13) Yes. 20/5 is equal to 44/11
14) No. 44/40 is not equal to 34/30
15) Yes . 40/4 is equal to 10/1
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17) No. 16/2 is not equal to 13/1
18) No. 38/9 is not equal to 28/7
19) Yes. This is a common proportion.
20) Yes. 50/25 is equal to 2.
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24) No. 34/7 is not 4
25) Yes. The second proportion listed is half of the first
26) Yes. This is proportional.
27) Yes. This is proportional.
28) Yes. This is proportional.
29) No. This is not proportional.
30) No. This is not proportional
31) Yes. This is proportional.
32) Yes. This is proportional
33)
34)
35)
36)
37)
38)
39)
40)
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Since the x and values are the same (implying undefined slope) you can subtract the smaller y value from the larger y value. 2.5-1.2=1.3. 
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