Question

Solve the equation, using the domain of x = {-1, 0, 2}. Write your solutions as a set of ordered pairs listed from least to greatest based on the x value. Do not type any spaces. Where needed, round to two decimal places.

2x + 3y = 7

Answer 1

Given:

x = { -1, 0, 2}

2x + 3y = 7
       3y  = -2x + 7
         y = (-2x + 7) / 3
         

Now,
Lets substitute the every "x" value in the equation.

For x = -1 
    
        y = ( -2 (-1) + 7) / 3
        y = 3

For x = 0
 
        y = (-2 (0) + 7) / 3
        y = 2.33

For x = 2

         y = ( -2 (2) + 7 ) / 3
         y = 1

So, 
Range (y) = {3 , 2.33 , 1}

So,
The answer in ordered pairs is {(-1 , 3) , (0 , 2.33) , (2 , 1)}