Question 1205685
<br>
One of the two given equations tells you what x is in terms of y. When that is the case, substitution is the obvious logical straightforward approach... although many other methods will get you to the answer.<br>
{{{x=y-5}}}<br>
So...<br>
{{{3x+y=3(y-5)+y=3y-15=y=4y-15=1}}}
{{{4y-15=1}}}
{{{4y=16}}}
{{{y=4}}}<br>
Then<br>
{{{x=y-5=4-5=-1}}}<br>
ANSWER: (x,y)=(-1,4)<br>