Question 1185268
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In a basketball, a field goal is either 2 or 3 points. In a college basketball tournament, 
Jim made 73 more 2-point field goals that 3-point field goals. If he scored a total of 216 goals in the tournament 
how many 3-point field goals did he make?
2x+3y=216
2x+73=3y
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            According to the terminology,  used in the problem,  you should  DISTINCT  the goals and the points.


            To distinct them is  IMPORTANT  to write equation correctly.



<pre>
The system of equation in your post is INCORRECT (is inadequate to the problem).


The correct system is THIS


    2x + 3y = 216    (1)

    x = y + 73       (2)


To solve the system, substitute expression (2) for x into equation (1).  You will get then
a single equation fot y, which is the unknown variable under the problem's question


    2*(y + 73) + 3y = 216


Simplify and find y


    2y + 146 + 3y = 216

    2y + 3y       = 216 - 146

       5y         =    70

        y         =    70/5 = 14.


<U>ANSWER</U>.  14 3-score goals.
</pre>

Solved.