Question

dind any four solutions of 2x - 11 - 5y +7
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Find any fou
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Answer 1

Given: 2x - 11 = 5y +7

To find: Find any four solutions.

Solution:

• So to find the solutions for the above linear equation in two variables, we need to first rearrange it.

           2x = 5y + 7 + 11

           x = (5y + 7 + 11 )/2

• Now, put y = 0, we get:

           x = (5(0) + 7 + 11 )/2

           x = (7 + 11 )/2

          x = 18/2

          x = 9

          x=9 , y=0

           put y=1

             x = (5(1) + 7 + 11 )/2

           x = (5 + 7 + 11 )/2

          x = 23/2

           y=1, x=23/9

          putting y=-1

              x = (5(-1) + 7 + 11 )/2

           x = (-5 + 7 + 11 )/2

          x = 13/2

          y=-1, x=13/2

          putting y=2

               x = (5(2) + 7 + 11 )/2

           x = (10 + 7 + 11 )/2

          x = 28/2

          x=14

         y=2, x=14

Answer:

So four solutions are:  (y=1, x=23/9 ), ( y=-1, x=13/2) , (y=2, x=14), (x=9 , y=0)