SOLUTION: 2x-3y=6 4x+y=1 the question is solve the system of equations i believe this is where i can do elimination or substitution but im kind of confused thank you in advance

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: 2x-3y=6 4x+y=1 the question is solve the system of equations i believe this is where i can do elimination or substitution but im kind of confused thank you in advance      Log On


   

Question 436698: 2x-3y=6
4x+y=1
the question is solve the system of equations i believe this is where i can do elimination or substitution but im kind of confused
thank you in advance
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
multiplying the 2nd equation by 3, and then adding it to the 1st equation ELIMINATES the y variable

(12x + 3y) + (2x - 3y) = 3 + 6 ___ 14x = 9 ___ x = 9/14


solving for y in the second equation, and then SUBSTITUTING the equivalent value of y into the first equation

y = 1 - 4x ___ 2x - 3(1 - 4x) = 6 ___ 2x - 3 + 12x = 6 ___ 14x = 9 ___ x = 9/14


both of these techniques finish by substituting the value of x into one of the equations to find the value of y