A test paper for first year Engineering Mathematics has thirty questions worth of 100 marks.

The test consists of two sections. Section One consists of true/false questions worth 1 mark

each, and multiple-choice questions worth 2 marks each. Meanwhile, Section 2 consists of only

subjective questions worth 12 marks each. The number of multiple-choice questions given is

three times as many as subjective questions.

Provided that,

= number of true/false questions

= number of multiple-choice questions

= number of subjective questions,

(a) Form a system of linear equations based on the problem given and represent the equations in

matrix form.

(b) Using Gauss elimination system, determine the total marks of each Section One and Two

for the test paper.