document.write( "Question 1030241: 2x − y = 5
\n" ); document.write( "4x − 2y = t
\n" ); document.write( "(a) Determine a particular value of t so that the system is consistent.
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\n" ); document.write( "(c) How many different values of t can be selected in part (b)? \n" ); document.write( "
Algebra.Com's Answer #645131 by ikleyn(52799)\"\" \"About 
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\n" ); document.write( "2x − y = 5
\n" ); document.write( "4x − 2y = t
\n" ); document.write( "(a) Determine a particular value of t so that the system is consistent.
\n" ); document.write( "(b) Determine a particular value of t so that the system is inconsistent.
\n" ); document.write( "(c) How many different values of t can be selected in part (b)?
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document.write( "Notice that the left side of the second equation is doubled left side of the first equation.\r\n" );
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document.write( "Therefore, the system of the two equations is consistent if and only if the right side of the second equation is doubled right side \r\n" );
document.write( "of the first equation.\r\n" );
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document.write( "So, the answers to questions are:\r\n" );
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document.write( "(a) Determine a particular value of t so that the system is consistent.     Answer.  t = 10.\r\n" );
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document.write( "(b) Determine a particular value of t so that the system is inconsistent.   Answer.  All values (each value) of t =/= 10. \r\n" );
document.write( "                                                                                     For example, t = 11.\r\n" );
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document.write( "(c) How many different values of t can be selected in part (b)?             Answer.  Infinitely many. \r\n" );
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