Question

2x+5y=8 ,
6x-7y=10. find the value of x&y

Answer 1

Hi.

Here is your answer---

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Given equations.

             2x + 5y = 8 
             2x = 8 - 5y
               x = (8 - 5y)/2 ------------------------------eq(i)
 
    6x - 7y = 10 --------------------------------eq(ii)

Putting eq(i) in eq(ii)

We get,
            6[(8 - 5y}/2] - 7y = 10
              24 - 15y - 7y = 10
               24 - 22y = 10
                22y = 24 - 10
                22y = 14
                   y = 7/11.

Putting the value of y in eq(ii),

                           6x - 7(7/11) = 10
                           6x - 49/11 = 10
                           6x = 10 + 49/11
                           6x = (110 + 49)/11
                           6x = 159/11
                             x = 53/22

Thus, the Value of the x is 53/22 and y is 7/11.

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Hope it helps.

Have a nice day.

Answer 2

Solution:-

given ,

2x + 5y = 8---------eq(1)

6x -7y = 10---------eq(2)

maltiply by eq(1)×3 in (-) subtract eq(2)

= 6x +15y = 24--------eq(1)
6x-7y = 10----------eq(2)
- + -
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22y = 14

y = 14/22 , y= 7/11

put value of (y) in eq (2)

6x -7×7/11 = 10

6x = 10+ 49/11

x = (110+49)/66

x= 159/66

x= 53/22