Solve the Following Question.(5 Marks)

Question 15 Marks

An amount of ₹ 5,000 is invested in three plans at rates 6%, 7% and 8% per annum respectively. The total annual income from these investments is ₹ 350. If the total annual income from first two investments is ₹ 70 more than the income from the third, find the amount invested in each plan by using Cramer’s Rule.

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Question 25 Marks

Solve the following equations using Cramer’s Rule.

(v) $\frac{2}{x}-\frac{1}{y}+\frac{3}{z}=4, \frac{1}{x}-\frac{1}{y}+\frac{1}{z}=2, \frac{3}{x}+\frac{1}{y}-\frac{1}{z}=2$

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Question 35 Marks

Solve the following equations using Cramer’s Rule.

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

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Question 45 Marks

Solve the following equations using Cramer’s Rule.

(iii) 11x – y – z = 31, x – 6y + 2z = -26, x + 2y – 7z = -24