SOLUTION: 9x-4y=8 4y-9x=-8 consistant or inconsistant dependant or independant What is the solution of the system of equations a. infinetly many solutions b. a point c. no solution

Question 147333: 9x-4y=8
4y-9x=-8
consistant or inconsistant
dependant or independant
What is the solution of the system of equations
a. infinetly many solutions
b. a point
c. no solution
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 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 and y 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.

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