document.write( "Question 324325: How do I use the elimination method to solve two linear equations?\r
\n" ); document.write( "\n" ); document.write( "2x+3y=1
\n" ); document.write( "4x+6y=2\r
\n" ); document.write( "\n" ); document.write( "Please explain to me
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Algebra.Com's Answer #232140 by Fombitz(32388)\"\" \"About 
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Look for combinations of the equations that allow you to eliminate a variable.
\n" ); document.write( "If you multiply eq. 1 by (-2) and add it to eq. 2 you will eliminate x.
\n" ); document.write( "Unfortunately in this case you will also eliminate y.
\n" ); document.write( "The two equations are depedent, that is, they are the same equation.
\n" ); document.write( "If you multiply equation 1 by 2, you will get equation 2.
\n" ); document.write( "In this case, every solution of eq. 1 will be a solution of eq. 2 so there are an infinite number of solutions.
\n" ); document.write( "\"-4x-6y%2B4x%2B6y=-2%2B2\"
\n" ); document.write( "\"0=0\"
\n" ); document.write( "Which is the typical result you achieve when you have dependent equations.
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\n" ); document.write( "If you get a result similar to
\n" ); document.write( "\"0=1\"
\n" ); document.write( "then you have two parallel lines, an inconsistent system, and will have no solution.
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