Question

2x+3y=12 and 3x-2y=5then
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Answer 1

Answer:

(12-3y)/2 = x ........1

3(12-3y)/2 - 4y/2 = 10/2

36-9y-4y= 10

13y = 26

y = 2

putting y in .......1

we get

{12-3(2)}/2 = x

x = 3

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Answer 2

$2x + 3y = 12 \\ 2x = 12 - 3y \\ x = \frac{(12 - 3y)}{2} \\ 3x - 2y = 5 \\ 3 \times \frac{(12 - 3y)}{2} - 2y = 5 \\ \frac{(36 - 9y)}{2} - 2y = 5$

$\frac{36 - 9y - 4y}{2} = 5 \\ 36 - 13y = 10 \\ 13y = 36 - 10 \\ 13y = 26 \\ y = \frac{26}{13} \\ y = 2$

$x = \frac{12 - 3y}{2} \\ x = \frac{12 - 3 \times 2}{2} \\ x = \frac{12 - 6}{2} \\ x = \frac{6}{2} \\ x = 3$

$hence \: \: x = 3 \: and \: \: y = 2$