SOLUTION: Solve the following by either elimination or substitution method: {x = 9/4y + 7 {4x - 9y = 30 Is the system inconsistent, are the equations dependent, or is the solution an o

Algebra ->  Graphs -> SOLUTION: Solve the following by either elimination or substitution method: {x = 9/4y + 7 {4x - 9y = 30 Is the system inconsistent, are the equations dependent, or is the solution an o      Log On


   

Question 183046: Solve the following by either elimination or substitution method:
{x = 9/4y + 7
{4x - 9y = 30
Is the system inconsistent, are the equations dependent, or is the solution an ordered pair?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm going to use the substitution method (as "x" is already isolated)


4x+-+9y+=+30 Start with the second equation.


4%28%289%2F4%29y++%2B+7%29+-+9y+=+30 Plug in x+=+%289%2F4%29y++%2B+7


4%28%289%2F4%29y%29++%2B+4%287%29+-+9y+=+30 Distribute


9y++%2B+28+-+9y+=+30 Multiply and reduce



0y%2B28=30 Combine like terms on the left side.


0y=30-28 Subtract 28 from both sides.


0y=2 Combine like terms on the right side.


0=2 Simplify.


Since this equation is NEVER true for any "y" value, this means that there are no solutions.


So the system is inconsistent.