SOLUTION: Graph the equation: 750x + 150y = 500 for x values from minus ten to plus ten. Show steps and explain

Algebra ->  Graphs -> SOLUTION: Graph the equation: 750x + 150y = 500 for x values from minus ten to plus ten. Show steps and explain      Log On


   



Question 182892: Graph the equation: 750x + 150y = 500 for x values from minus ten to plus ten. Show steps and explain
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the equation: 750x + 150y = 500 for x values from minus ten to plus ten. Show steps and explain

Solve for y:

750x+%2B+150y+=+500

Substitute x=-10

750x+%2B+150y+=+500
750%28-10%29+%2B+150y+=+500
-7500+%2B+150y+=+500
150y+=+500%2B7500
y+=+500%2F150%2B+7500%2F150
y=8000%2F150
y=160%2F3
y=53%261%2F3

So at one end we have the point 

++matrix%281%2C4%2C+%22%28%22+%2C%22-10%2C%22+%2C53%261%2F3%2C%22%29%22+%29+


Substitute x=10

750x+%2B+150y+=+500
750%2810%29+%2B+150y+=+500
7500+%2B+150y+=+500
150y+=+500-7500
y+=+500%2F150-7500%2F150
y=-7000%2F150
y=-140%2F3
y=-46%262%2F3

So at the other end we have the point 

++matrix%281%2C4%2C+%22%28%22+%2C%2210%2C%22+%2C-46%262%2F3%2C%22%29%22+%29+ 

graph%28200%2C200%2C-10%2C11%2C-60%2C60%2C%28500-750x%29%2F150%29

Edwin