SOLUTION: Solve the following system of equations by graphing. If the system is inconsistent or the equations are​ dependent, say so. 5x-4y=-1 15x-12y=3

Algebra ->  Graphs -> SOLUTION: Solve the following system of equations by graphing. If the system is inconsistent or the equations are​ dependent, say so. 5x-4y=-1 15x-12y=3      Log On


   

Question 1089058: Solve the following system of equations by graphing. If the system is inconsistent or the equations are​ dependent, say so.
5x-4y=-1
15x-12y=3
Found 3 solutions by MathLover1, anandtiwar62@gmail.com, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

5x-4y=-1
15x-12y=3
---------------------------
Solved by pluggable solver: Solve the System of Equations by Graphing



Start with the given system of equations:


5x-4y=-1

15x-12y=3





In order to graph these equations, we need to solve for y for each equation.




So let's solve for y on the first equation


5x-4y=-1 Start with the given equation



-4y=-1-5x Subtract 5+x from both sides



-4y=-5x-1 Rearrange the equation



y=%28-5x-1%29%2F%28-4%29 Divide both sides by -4



y=%28-5%2F-4%29x%2B%28-1%29%2F%28-4%29 Break up the fraction



y=%285%2F4%29x%2B1%2F4 Reduce



Now lets graph y=%285%2F4%29x%2B1%2F4 (note: if you need help with graphing, check out this solver)



+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%285%2F4%29x%2B1%2F4%29+ Graph of y=%285%2F4%29x%2B1%2F4




So let's solve for y on the second equation


15x-12y=3 Start with the given equation



-12y=3-15x Subtract 15+x from both sides



-12y=-15x%2B3 Rearrange the equation



y=%28-15x%2B3%29%2F%28-12%29 Divide both sides by -12



y=%28-15%2F-12%29x%2B%283%29%2F%28-12%29 Break up the fraction



y=%285%2F4%29x-1%2F4 Reduce





Now lets add the graph of y=%285%2F4%29x-1%2F4 to our first plot to get:


Graph of y=%285%2F4%29x%2B1%2F4(red) and y=%285%2F4%29x-1%2F4(green)


From the graph, we can see that the two lines are parallel and will never intersect. So there are no solutions and the system is inconsistent.

Answer by anandtiwar62@gmail.com(3) About Me  (Show Source):
You can put this solution on YOUR website!
Both equation are same so many infinity solutions
And graph is straight line with slope 5/4.
Both equation are dependent mutually.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Solve the following system of equations by graphing. If the system is inconsistent or the equations are​ dependent, say so.
5x-4y=-1
15x-12y=3
highlight_green%28matrix%281%2C2%2C+NO%2C+SOLUTIONS%29%29