document.write( "Question 1021368: What method do i have to use to solve this question?
\n" ); document.write( "I'm really stuck.\r
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\n" ); document.write( "\n" ); document.write( "Find the values of h and p for which the simultaneous equations x+3y=h and 5x-(p-2)y=15 have infinitely many solutions. \r
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Algebra.Com's Answer #637076 by robertb(5830) $\"\"$ $\"About$

You can put this solution on YOUR website!
For the system to have infinitely many solutions, the ratios of the respective coefficients must be of the same proportion.\r
\n" ); document.write( "\n" ); document.write( "To this end, multiply the first equation by 5:\r
\n" ); document.write( "\n" ); document.write( "==> 5x + 15y = 5h\r
\n" ); document.write( "\n" ); document.write( "Then -(p-2) = 15 and 5h = 15\r
\n" ); document.write( "\n" ); document.write( "==> -p+2 = 15, or -p = 13 ==> $\"highlight%28+p+=+-13%29\"$ .\r
\n" ); document.write( "\n" ); document.write( "also, $\"highlight%28h+=+3%29\"$ \n" ); document.write( "

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