Question

if 3x+2y=10&2x+3y=5 find the value of xy ​

Answer 1

Answer:

Hi Mate,

Step-by-step explanation:

Here, we can solve this question using the substitutition method:-

Given equations:-

3x + 2y = 10 -------  ①

2x + 3y = 5  -------- ②

Using equation - ②, we get,

x = $(5-3y)$*$\frac{1}{2}$ ------ ③

Putting equation - ③ in equation - ①

=> 3x + 2y = 10

=> 3(5-3y)*1/2 + 2y = 10

=> (15 - 9y)*1/2 + 2y = 10

=> 15 - 9y = 2(10 - 2y)

=> 15 - 9y = 20 - 4y

=> -9y + 4y = 20 -15

=> -5y = 5

=> y = 5/(-5)

=> y = -1

Now, using equation - ③ and substituting the value of y

=> x = (5-3y)*1/2

=> x = {5-3(-1)}*1/2

=> x = {5 + 3}*1/2

=> x = {8}/2

=> x = 4

Now, at last finding the value of 'xy = ?' by subtituting the values...

Therefore, the answer is:

=> xy = (4)*(-1)

=> xy = (-4)

=> xy = -4      [Ans.]

Hope this helps....

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