Questions

Solve the Following Question.(4 Marks)

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6 questions · self-marked practice — reveal the answer and mark yourself.

Question 14 Marks
Solve the following linear equations by Cramer’s Rule.

(iii) x – y + 2z = 7, 3x + 4y – 5z = 5, 2x – y + 3z = 12

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Question 24 Marks
Solve the following linear equations by Cramer’s Rule.

(ii) $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=-2, \frac{1}{x}-\frac{2}{y}+\frac{1}{z}=3, \frac{2}{x}-\frac{1}{y}+\frac{3}{z}=-1$

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Question 34 Marks
Solve the following linear equations by Cramer’s Rule.

(i) 2x – y + z = 1, x + 2y + 3z = 8, 3x + y – 4z = 1

(i) 2x – y + z = 1, x + 2y + 3z = 8, 3x + y – 4z = 1

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Question 44 Marks
The sum of three numbers is 15. If the second number is subtracted from the sum of first and third numbers, then we get 5. When the third number is subtracted from the sum of twice the first number and the second number, we get 4. Find the three numbers.
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Question 64 Marks
If $\left|\begin{array}{ccc}4+x & 4-x & 4-x \\ 4-x & 4+x & 4-x \\ 4-x & 4-x & 4+x\end{array}\right|=0$, then find the values of $x$
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