document.write( "Question 1036672: I need help with this following equation :
\n" ); document.write( "3x - 7y = 2
\n" ); document.write( "2x - 3y = 3
\n" ); document.write( "I can only use substitution, please help \n" ); document.write( "

Algebra.Com's Answer #651402 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "I need help with this following equation :
\n" ); document.write( "3x - 7y = 2
\n" ); document.write( "2x - 3y = 3
\n" ); document.write( "I can only use substitution, please help
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

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document.write( "3x - 7y = 2,   (1)\r\n" );
document.write( "2x - 3y = 3.   (2)\r\n" );
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document.write( "Express x from (2):  x = . \r\n" );
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document.write( "Now substitute (\"plug-in\") it into equation (1). You will get\r\n" );
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document.write( " = 2.    (3)\r\n" );
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document.write( "instead of (1). Multiply both sides of (3) by 2 to rid of denominator. You will get\r\n" );
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document.write( "3*(3+3y) - 14y = 4.\r\n" );
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document.write( "Simplify it step by step:\r\n" );
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document.write( "9 + 9y - 14y = 4,\r\n" );
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document.write( "9y - 14y = 4 - 9,\r\n" );
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document.write( "-5y = -5,\r\n" );
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document.write( "y = 1.\r\n" );
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document.write( "Then  x =  = 3.\r\n" );
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document.write( "Answer.  x = 3,  y = 1.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On the Substitution method, Elimination method, Determinants' method for solving the systems of two linear equations in two unknowns see the lessons \r
\n" ); document.write( "\n" ); document.write( "    - Solution of the linear system of two equations in two unknowns using determinant \r
\n" ); document.write( "\n" ); document.write( "    - Solution of the linear system of two equations in two unknowns by the Substitution method \r
\n" ); document.write( "\n" ); document.write( "    - Solution of the linear system of two equations in two unknowns by the Elimination method \r
\n" ); document.write( "\n" ); document.write( "    - Geometric interpretation of the linear system of two equations in two unknowns \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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