<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>(</em><em>4</em><em>,</em><em>7</em><em>)</em>
<em>look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em><em>.</em>
<em>Good</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>

This happens whenever

or

. More generally,

whenever you start with one of these angles and add any multiple of

, so the general solution would be

, where

is any integer. (Notice that when

, you end up with

.)
Answer: 135 nickels
Step-by-step explanation:
135 Nickels is $6.75 and 165 dimes is $16.50
That's 300 coins. $6.75 + $16.50 = $23.25
Draw a graph with integer lines going vertical and horizontal. Make sure the integer lines have all the numbers in the coordinates. Find where the numbers line up on the graph.