Determine the ordered pair that satisfies the equation, 5x - 3y = 2.

Question

this is a math problem

Answer 1

5x - 3y = 2

 

This is the equation of a line (infinite number of points) in Standard Form   (Ax+By=C).

 

Often, it is easy to find the points that are the intercepts:

   y-intercept (the place where x=0) so, set x=0 and solve for y

   x-intercept (the place where y=0) so, set y=0 and solve for x

 

If you want integer values for x and y,

     first, determine the slope = (-A/B) = (-5)/(-3) = 5/3

     then, select an (x,y) where a multiple of 5 is 2 more than a multiple of 3  [for example, (1,1)]

     for additional points, use (1+3n, 1+5n),  so  (4,6), (7,11), (10,16) ...     [because the slope is 5/3]

Answer 2

5x-3y=2

-3y=-5x+2

y=(5/3)x-2/3

if you want integers...

x=1, y=1

x=4, y=6

x=7, y=11

x=10, y=16

x=13, y=21

do you see the pattern ?

Answer 3

Livi, lots of ordered pairs will satisfy the equation. First, solve for y, and then set up a table of values.

5x - 3y = 2

-3y = -5x + 2

y = (5/3)x - 2/3

 

       x           y      

       3           4 1/3       (3, 4 1/3)

       6           9 1/3       (6, 9 1/3)