document.write( "Question 1130672: Use substitution to solve the system. (Simplify your answer completely. If the system is dependent, enter a general solution in terms of x and y. If there is no solution, enter NO SOLUTION.)\r
\n" ); document.write( "\n" ); document.write( "3y + x = 1
\n" ); document.write( "y= -1/3 x + 1/3 \n" ); document.write( "

Algebra.Com's Answer #747282 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "From the second equation, substitute this expression for y into the first equation.\r\n" );
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document.write( "You will get\r\n" );
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document.write( "     + x = 1\r\n" );
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document.write( "Simplify it step by step\r\n" );
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document.write( "    -x + 1 + x = 1\r\n" );
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document.write( "Cancel similar terms\r\n" );
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document.write( "    0 = 0.\r\n" );
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document.write( "Every time when you get this identity after making equivalent transformations, it means that the original equation / (system of equations) \r\n" );
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document.write( "is, actually, an identity and has infinitely many solutions.\r\n" );
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document.write( "It means that the system is dependent.\r\n" );
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document.write( "The general solution is  y = , as the second original equation states.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Actually, the stiff instructions prevents any initiative from the students.\r
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\n" ); document.write( "\n" ); document.write( "But, actually, every educated student in healthy mind should notice (after 10 seconds looking into the system) that\r
\n" ); document.write( "\n" ); document.write( "the two equations are, indeed, equivalent and represent the same straight line, so the system is dependent.\r
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\n" ); document.write( "\n" ); document.write( "I am very surprised on how the tutor @LoverMath1 treats these problems on solving equation systems.\r
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\n" ); document.write( "\n" ); document.write( "By applying this \"pluggable solver\", she turns / transforms / converts very serious educational task of teaching students
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