SOLUTION: Instructions: Solve each system by the substitution method. What is the solution for 6x+9y=6 2x=2-3y

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Instructions: Solve each system by the substitution method. What is the solution for 6x+9y=6 2x=2-3y      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 60950: Instructions: Solve each system by the substitution method.
What is the solution for 6x+9y=6
2x=2-3y
Found 2 solutions by checkley71, joyofmath:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
6x+9y=6
6x=6-9y
x=6/6-9y/6
x=1-3y/2 substitute (1-3y/2) for z in the other equation
6*(1-3y/2)=6-9y
6-18y/2=6-9y
6-9y=6-9y
0=0 no solutions other than x & y=0

Answer by joyofmath(189) About Me  (Show Source):
You can put this solution on YOUR website!
6x%2B9y=6 is the same line as 2x=2-3y
To see that, divide the first equation by 3 and get 2x%2B3y=2
Then, subtract 3y from both sides of the equation and you get the second equation.
So, the question is, where do these two lines intersect? They are the same line so they intersect everywhere and there are infinitely many answers to the equation.