+0  
 
0
216
1
avatar

the equation of a line is x + 3y - 24 = 0. write the coordinates of a point on the line for each of the following conditions:

 

a) the x-coordinate is equal to the y-coordinate.

b) the x-coordinate is three times as great as the y-coordinate.

c) the y-coordinate is four greater than the x-coordinate.

Guest Aug 1, 2017

Best Answer 

 #1
avatar+7072 
+3

x + 3y - 24  =  0

 

a)     Plug in  y  for  x  and solve for  y  .

 

y + 3y - 24  =  0

4y - 24  =  0

4y  =  24

y  =  6 

 

The coordinate  =  (x, y)  =  (y, y)  =  (6, 6)

 

b)     Plug in  3y  for  x  and solve for  y  .

 

(3y) + 3y - 24  =  0

6y - 24  =  0

6y  =  24

y  =  4

 

The coordinate  =  (x, y)  =  (3y, y)  =  (3*4, 4)  =  (12, 4)

 

c)     Plug in  x + 4  for  y  and solve for  x  .

 

x + 3y - 24  =  0

x + 3(x + 4) - 24  =  0

x + 3x + 12 - 24  =  0

4x - 12  =  0

4x  =  12

x  =  3

 

The coordinate  =  (x, y)  =  ( x,  x + 4  )  =  ( 3,  3 + 4  )  =  (3, 7)

 

The graph here verifies that these coordinates are points on the line.  smiley

hectictar  Aug 1, 2017
edited by hectictar  Aug 2, 2017
 #1
avatar+7072 
+3
Best Answer

x + 3y - 24  =  0

 

a)     Plug in  y  for  x  and solve for  y  .

 

y + 3y - 24  =  0

4y - 24  =  0

4y  =  24

y  =  6 

 

The coordinate  =  (x, y)  =  (y, y)  =  (6, 6)

 

b)     Plug in  3y  for  x  and solve for  y  .

 

(3y) + 3y - 24  =  0

6y - 24  =  0

6y  =  24

y  =  4

 

The coordinate  =  (x, y)  =  (3y, y)  =  (3*4, 4)  =  (12, 4)

 

c)     Plug in  x + 4  for  y  and solve for  x  .

 

x + 3y - 24  =  0

x + 3(x + 4) - 24  =  0

x + 3x + 12 - 24  =  0

4x - 12  =  0

4x  =  12

x  =  3

 

The coordinate  =  (x, y)  =  ( x,  x + 4  )  =  ( 3,  3 + 4  )  =  (3, 7)

 

The graph here verifies that these coordinates are points on the line.  smiley

hectictar  Aug 1, 2017
edited by hectictar  Aug 2, 2017

19 Online Users

avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.