SOLUTION: Please help me solve using the elimination method. If the system has an infinite # of solutions, use set-builder notation to write the solution set. If the system has no solution,s
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Question 225488: Please help me solve using the elimination method. If the system has an infinite # of solutions, use set-builder notation to write the solution set. If the system has no solution,state this.
x-6y=7
2x-6y=2
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Given the system:
Multiply Equation 1: by -1:
Notice that the coefficients on the 
terms are additive inverses. Add the like terms of the two equations:
The -terms have been eliminated, hence the name of the method.
From here you can either take the value of 
that we just derived and substitute it into either of the original equations then solve for , or you could multiply the original Equation 1: by -2 and add the two equations, thus eliminating the terms giving you a single linear equation in .
John
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