Find three solutions of the linear equation 3x – 5y =7

 (0, -7/5) , (1, -4/5), (2, -1/5)

Step-by-step explanation:

There are an infinite number of answers.  I chose the simplest which was to let x = {0, 1, 2} and solve for y.

x = 0:     3(0) - 5y = 7

                 0  -5y = 7

                     y = -7/5

(0, -7/5)

x = 1:     3(1) - 5y = 7

             3  -  5y = 7

                   -5y = 4

                     y = -4/5

  (1, -4/5)

x = 2:     3(2) - 5y = 7

               6  -  5y = 7

                   -5y = 6

                     y = -1/5

  (2, -1/5)

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)

6

step-by-step explanation: