SOLUTION: Solve the following system by substitution 8x-2y=6 y=4x-3

Algebra ->  Test -> SOLUTION: Solve the following system by substitution 8x-2y=6 y=4x-3      Log On


   



Question 101139: Solve the following system by substitution
8x-2y=6
y=4x-3

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
Y=4X-3
8X-2(4X-3)=6
8X-8X+6=6
0X=0
THESE TWO EQUATIONS ARE THE SAME THEREFORE THERE IS NOW UNIQUE SOLUTION WITH ONE EQUATION HAVING TWO UNKNOWNS:
ASSIGNING A VALUE TO X AND SOLVING FOR Y IS THE ONLY WAY TO GET ONE OF MANY SOLUTIONS. BY CONTINUING TO SUBSTITUTE DIFFERENT VALUES FOR X OR Y AND SOLVING FOR THE OTHER UNKNOWN THEN PUTING THE VALUES IN A TABLE IS THE ONLY SOLUTION.