Determine rested pairs 6x-8y=3

Answer 1

I'm assuming you meant ordered pairs.

Solve for y in terms of x:

6x - 8y = 3

8y = 6x - 3

y = (6x - 3) / 8 = (6/8)x - (3/8) = (3/4)x - (3/8)

Now make a table of x values, corresponding y values (found by plugging each x value into the above equation), and (x,y) pairs. The table applies for any value of x but here are a few examples:

x y (x,y)

-5 -33/8 (-5 , -33/8)

-4 -27/8 (-4, -27/8)

-3 -21/8 (-3 , -21/8)

-2 -15/8 (-2 , -15/8)

-1 -9/8 (-1 , -9/8)

0 -3/8 (0 , -3/8)

1 3/8 (1 , 3/8)

2 9/8 (2 , 9/8)

3 15/8 (3 , 15/8)

4 21/8 (4 , 21/8)

5 27/8 (5 , 27/8)