Find q and r for the pairs of positive integers a and b, satisfying a = bq + r where a = 13 and b = 3.
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Answer:
Q = 1, R = 10
Q = 2, R = 7
Q = 3, R = 4
Q = 4, R = 1
And much more
Step-by-step explanation:
First, we input the A and B, so
13 = 3Q + R
Since this is an equation with 2 vairables, then there will be infinite amount of pairs that satisfy the equation. However, to find several of them, we can do this:
Let's say that Q = 1. So,
13 = 3 (1) + R
13 = 3 + R
R = 13 - 3 = 10.
You can continue this method with other values of Q or R, but I have put several of them. Hope this helps!
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