document.write( "Question 516803: Solve
\n" ); document.write( "2x -5y -3z =7
\n" ); document.write( "-4x +10y + 2z = 6
\n" ); document.write( "6x -15y - z = -19
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Algebra.Com's Answer #344522 by gc2000(22)\"\" \"About 
You can put this solution on YOUR website!
Sorry, this can't be solved to arrive at a unique solution for x and y, although z = -5.\r
\n" ); document.write( "\n" ); document.write( "These equations do not have one unique solution because in each of the three equations x and y are expressed in the exact same ratio (2x : -5y); therefore many (actually infinite) x and y \"answers\" that fit with that ratio can \"successfully\" be substituted into all three equations. The z terms have different ratios in relation to x and y, and therefore z can be solved via substitution and/or adding equations; resulting in z = -5; but since there is no proper solution, I didn't show work.\r
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