What is the ordered pairs for 3x+4y=24

Question

What is the ordered pair for 3x+4y=24

Answer 1

4y = 24 - 3x

 

y = (24 - 3x)/4

 

y = 24/4 - (3/4)x

 

  = 6 - (3/4)x

 

  = (-3/4)x + 6

 

 

Now you can create as many ordered pairs as you like.

Just pick values for x and set up a table.

Recommend multiples of 4, so that the fraction cancels out.

 

Ex.

 

     X     Y

  -8      12

  -4      9

  0        6

  4        3

   8      0

Answer 2

This is the equation of a line.  There are an infinite number of ordered pairs
that will satisfy the equation.
 
If you need the x and y intercepts then:
y-intercept:  Set x=0
4y = 24
y = 6
y-intercept:  (0, 6)
 
x-intercept: Set y=0
3x = 24
x = 8
x-intercept: (8, 0)