SOLUTION: Solve the systems of linear equations in two unknown of; 6x-2y+2=0 -12x+4y=4

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve the systems of linear equations in two unknown of; 6x-2y+2=0 -12x+4y=4      Log On


   



Question 1174564: Solve the systems of linear equations in two unknown of;
6x-2y+2=0
-12x+4y=4

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

Divide 1-st equation by 2 and then write in the STANDARD form.


Divide 2-nd equation by 4 and then write in the STANDARD form.


You will get


    3x - y = -1

    3x - y = -1


Looking attentively, you see that these two equations are IDENTICAL.


THEREFORE, they have infinitely many solutions, representing the straight line


    y = 3x + 1.     (*)


Variable "x" may have any real value, and variable "y" has the real value according to the formula (*)

Solved, answered and explained.   //     And completed.