SOLUTION: Solve by the elimination method. 3x - 9y = 4 3x - 9y = 5 Is the answer 1??

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve by the elimination method. 3x - 9y = 4 3x - 9y = 5 Is the answer 1??      Log On


   

Question 143902: Solve by the elimination method.
3x - 9y = 4
3x - 9y = 5
Is the answer 1??
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!


Start with the given system of equations:

system%283x-9y=4%2C3x-9y=5%29



3x-9y=4
-1%283x-9y%29=-1%285%29 Multiply the second equation (both sides) by -1




Distribute and multiply

3x-9y=4
-3x%2B9y=-5


Now add the equations together. In order to add 2 equations, group like terms and combine them

%283x-3x%29%2B%28-9y%2B9y%29=4-5

Combine like terms and simplify



cross%283x-3x%29%2B0y=-1 Notice how the x terms cancel out



0=-1 Simplify


Since this equation is never true regardless of what x or y is, there are no solutions. So this system is inconsistent.