Question

3u + 2v= 12
2u + 3v = 13

by substution method​

Answer 1

Answer:

1/x be u and 1/y be v. so our equations become,. 1/2u + 1/3v = 2 1/3u + 1/2v = 13/6. (3u +2v)/6 =2 (2u + 3v)/6 = 13/6. 3u + 2v =12 .

Step-by-step explanation:

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Answer 2

Answer:

$3u + 2v = 12 \\ 3u = 12 - 2v \\ u = \frac{12 - 2v}{3} \\ putting \: value \: of \: u \: in \: equation \: 2 \\ 2( \frac{12 - 2v}{3}) + 3v = 13 \\ 24 - 4v + 9v = 13 \times 3 \\ 24 + 5v = 39 \\ 5v = 15 \\ v = 3 \\ now \: put \: v = 3 \: in \: equation \: 1 \\ 3u + 2 \times 3 = 12 \\ 3u = 12 - 6 \\ u = \frac{6}{3} \\ u = 2 \\ u = 2 \: and \: v = 3$

Step-by-step explanation:

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