Question 1170438
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x = number of multiple choice questions
y = number of open-ended questions


Since there are 38 questions of either type, this means x+y = 38 is the first equation.


Each multiple choice question is worth 4 points. If a student answers all x of them correctly, then they earn 4x points.


Each open-ended question is worth 20 points. If they answer all y of them correctly, then they earn 20y points.


In total, there are 4x+20y points which is set equal to 200, since this is the total number of points possible on the exam.


The second equation is therefore 4x+20y = 200


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In summary, the system of equations is 
x+y = 38
4x+20y = 200

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