SOLUTION: 9x-5y=-35 , 5y-9x=35. what is the solution to the system of equations? is the system consistant?

Algebra.Com
Question 147251: 9x-5y=-35 , 5y-9x=35. what is the solution to the system of equations? is the system consistant?
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the second equation.


Rearrange the terms.



So we have the given system of equations:




Add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:





Group like terms.


Combine like terms. Notice how the x terms cancel out.


Simplify.


Since is always true, this means that there are an infinite number of solutions. So the system is consistent and dependent.

RELATED QUESTIONS

solve the system of equations by graphing. Then classify the system as consistant or... (answered by sudhanshu_kmr)
9x-4y=8 4y-9x=-8 consistant or inconsistant dependant or independant What is the... (answered by jim_thompson5910)
What is the solution to: {{{system(4x + 5y - 6z = -15, -6x + 5y - 4z = 35, 2x + 3y -... (answered by Edwin McCravy)
solve the system of equations what is the solution set x+5y=6... (answered by Alan3354,algebrahouse.com)
Solve the system {9x -5y=1... (answered by ankor@dixie-net.com)
Solve the system of equations using the addition (elimination) method. If the answer is a (answered by checkley71)
ordered pair of (3,6) is a solution of the following system of equations:... (answered by Alan3354)
Solve the system of equations by graphing. Then classify the system as consistant or... (answered by lynnlo)
The solution to the system of equations below is: 3x+4y=-6,... (answered by Tunde)