document.write( "Question 149241: if p & q are positve single digit numbers find all possible solutions of 3p-4q=4 \n" ); document.write( "
Algebra.Com's Answer #109494 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
3p-4q=4\r
\n" ); document.write( "\n" ); document.write( "First, solve for p:
\n" ); document.write( "add 4q to each side:
\n" ); document.write( "3p=4+4q divide each side by 3\r
\n" ); document.write( "\n" ); document.write( "p=(4+4q)/3
\n" ); document.write( "By inspection, we see that q must be less than 7, otherwise p will be greater than 10. Lets assign values for q between 0 and 6 and see what we get for p:\r
\n" ); document.write( "\n" ); document.write( "q=0; p=4/3------------------no good --not a single-digit number
\n" ); document.write( "q=1; p=5/3-------------------no good---not a single-digit number
\n" ); document.write( "q=2; p=4---------------------BINGO!!!!!
\n" ); document.write( "q=3; p=16/3-------------------no good---not a single-digit number
\n" ); document.write( "q=4; p=20/3---------------------no good---not a single-digit number
\n" ); document.write( "q=5; p=8------------------------BINGO!!!!!!!!!!!!
\n" ); document.write( "q=6; p=28/3---------------------no good---not a single-diogit number\r
\n" ); document.write( "\n" ); document.write( "Answer:
\n" ); document.write( "q=2; p=4
\n" ); document.write( "and
\n" ); document.write( "q=5; p=8\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor
\n" ); document.write( " \n" ); document.write( "
\n" );