document.write( "Question 72425: hello, I need to know how to solve:
\n" ); document.write( "For what value(s) of C does 3x-4y=9 and 12x-16y=c have infinite solutions?
\n" ); document.write( "Thank you
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Algebra.Com's Answer #51753 by Cintchr(481) $\"\"$ $\"About$

You can put this solution on YOUR website!
For two lines to have an infinite number of soulutions, they have to, in reality, be the same line.
\n" ); document.write( "Start with your first equation:
\n" ); document.write( " $\"+3x-4y=9+\"$
\n" ); document.write( "This is written in standard form
\n" ); document.write( " $\"+Ax+%2B+By+=+C+\"$
\n" ); document.write( "Now look at your second equation:
\n" ); document.write( " $\"+12x-16y=c+\"$
\n" ); document.write( "It too is in Standard form.
\n" ); document.write( "Look at the 'A' Values of each. The 2nd is 4-times the first.
\n" ); document.write( "Look at the 'B' Values of each. The 2nd is 4-times the first.
\n" ); document.write( "So, that means that the 'C' values are in the same ratio or proportion.
\n" ); document.write( "9 * 4 = 36
\n" ); document.write( "Your vallue for 'C' in the 2nd equation is 36.
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