SOLUTION: if p & q are positve single digit numbers find all possible solutions of 3p-4q=4

Question 149241: if p & q are positve single digit numbers find all possible solutions of 3p-4q=4
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
3p-4q=4
First, solve for p:
add 4q to each side:
3p=4+4q divide each side by 3
p=(4+4q)/3
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:
q=0; p=4/3------------------no good --not a single-digit number
q=1; p=5/3-------------------no good---not a single-digit number
q=2; p=4---------------------BINGO!!!!!
q=3; p=16/3-------------------no good---not a single-digit number
q=4; p=20/3---------------------no good---not a single-digit number
q=5; p=8------------------------BINGO!!!!!!!!!!!!
q=6; p=28/3---------------------no good---not a single-diogit number
Answer:
q=2; p=4
and
q=5; p=8

Hope this helps---ptaylor

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