document.write( "Question 1091103: Determine the number of solutions of the linear system 15x + 5y =310 and 17x -4y=593 \n" ); document.write( "
Algebra.Com's Answer #705520 by ikleyn(52781)\"\" \"About 
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document.write( "The first line is \r\n" );
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document.write( "y = \"%28310-15x%29%2F5\" = \"-5x+%2B+310%2F5\".  It has the slope of (-5).\r\n" );
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document.write( "The second line is  \r\n" );
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document.write( "y = \"%2817x+-593%29%2F4\" = \"%2817%2F4%29x+-+593%2F4\".  It has the slope of \"17%2F4\".\r\n" );
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document.write( "Since the slopes are different, the straight lines are not parallel.\r\n" );
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document.write( "Hence. they have an intersection point, and this point is unique.\r\n" );
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document.write( "The intersection point represents the solution of the system.\r\n" );
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document.write( "So, you can conclude that the given system has ONE and ONLY ONE solution.\r\n" );
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\n" ); document.write( "\n" ); document.write( "See the lesson \r
\n" ); document.write( "\n" ); document.write( "    - Geometric interpretation of a linear system of two equations in two unknowns \r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r
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