SOLUTION: if a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. 9x − 2y = 3, 3x − 6 =

Algebra ->  Graphs -> SOLUTION: if a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. 9x − 2y = 3, 3x − 6 =      Log On


   

Question 560102: if a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this.
9x − 2y = 3,
3x − 6 = y
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Solve this with substitution. The second equation indicates that y=3x-6. Substitute that for y in the first equation.


9x-2(3x-6)=3 | Distribute the 2
9x-6x+12=3 | combine like terms and subtract 12 from both sides
3x=-9 | divide both sides by 3
x=-3


Substitute x=-3 into the second equation, to solve for y.
3(-3)-6=y
-9-6=y
-15=y


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