SOLUTION: Hello show graphically that the system of linear equations 2x+4y=10 and 3x+6y=12 has no solution. explain why? thank you.

Algebra ->  Linear-equations -> SOLUTION: Hello show graphically that the system of linear equations 2x+4y=10 and 3x+6y=12 has no solution. explain why? thank you.      Log On


   

Question 372067: Hello
show graphically that the system of linear equations 2x+4y=10 and 3x+6y=12 has no solution. explain why?
thank you.
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2B4y=10
4y=-2x%2B10
y=-%281%2F2%29x%2B5%2F2
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graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C0%2C-%281%2F2%29x%2B5%2F2%29
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3x%2B6y=12
6y=-3x%2B12
y=-%281%2F2%29x%2B2
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graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C0%2C-%281%2F2%29x%2B5%2F2%2C-%281%2F2%29x%2B2%29
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Because the lines are parallel, m%5B1%5D=m%5B2%5D=-1%2F2

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

show graphically that the system of linear equations 2x+4y=10 and 3x+6y=12 has no solution

Using the standard point-slope form for an equation of a line y = mx + b  

where m is the slope and b the y-intercept. 

solving for y so as to put into the slope-intercept form 

2x+4y=10   y = -(2/4)x + 10

3x+6y=12   y = -(3/6)x + 12

both lines have slope -(1/2)  

Showing these two lines are parallel and that there is no solution for this system

graph%28+300%2C+300%2C-15%2C15%2C-15%2C15%2C-.5x+%2B+10%0D%0A%2C+-.5x+%2B+12%29+