SOLUTION: Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent. y=-3x+19 y=2x-1 Thank for your help!

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent. y=-3x+19 y=2x-1 Thank for your help!      Log On


   

Question 177963: Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent.
y=-3x+19
y=2x-1
Thank for your help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y=-3x%2B19 Start with the first equation


2x-1=-3x%2B19 Plug in y=2x-1


2x-1%2B3x=19 Add 3x to both sides


2x%2B3x=19%2B1 Add 1 to both sides


5x=20 Combine like terms


x=20%2F5 Divide both sides by 5 to isolate "x"


x=4 Reduce. This is our first answer.


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y=-3x%2B19 Go back to the first equation


y=-3%284%29%2B19 Plug in x=4


y=-12%2B19 Multiply


y=7 Add. This is our second answer.


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Answer:

So the solutions are x=4 and y=7 which form the ordered pair (4,7)