SOLUTION: solve the following system using the substitution method: y=3x-2 15x-5y=10

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Question 523977: solve the following system using the substitution method:
y=3x-2
15x-5y=10

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Your first equation says that is equal to an expression involving . Substitute the expression in place of in the second equation, thus:





Now you have a single equation in one variable. Solve for . However, in this case, you do not get a definitive answer. Solving for results in complete elimination of the variable and the trivial result: -- interesting, but not very. This means that the solution set of the system has infinite elements, which is to say that the two equations have exactly the same solution set. Graphically, they would be the same line.

John

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