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) (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
You can put this solution on YOUR website! is the same line as
To see that, divide the first equation by 3 and get
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.
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