SOLUTION: please help me solve this graphing problem Solve the following system: y = 2x - 5 y + 1 = 2(x - 2)

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: please help me solve this graphing problem Solve the following system: y = 2x - 5 y + 1 = 2(x - 2)       Log On


   

Question 179489: please help me solve this graphing problem
Solve the following system:
y = 2x - 5
y + 1 = 2(x - 2)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y+%2B+1+=+2%28x+-+2%29+ Start with the second equation.


highlight%282x+-+5%29+%2B+1+=+2%28x+-+2%29+ Plug in highlight%28y%29+=+2x+-+5. In other words, replace each "y" with 2x-5


2x-5%2B1=2x-4 Distribute.


2x-4=2x-4 Combine like terms on the left side.


2x=2x-4%2B4 Add 4 to both sides.


2x-2x=-4%2B4 Subtract 2x from both sides.


0x=-4%2B4 Combine like terms on the left side.


0x=0 Combine like terms on the right side.


0=0 Simplify.


Since this equation is ALWAYS true for any x value, this means x can equal any number.


So there are an infinite number of solutions.


This means that the system is consistent and dependent