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Solve the following equations by the reduction method.
2x + y = 5, 3x + 5y = – 3
Concept: undefined >> undefined
Solve the following equations by the reduction method.
x + 3y = 2, 3x + 5y = 4
Concept: undefined >> undefined
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Solve the following equations by the reduction method.
3x – y = 1, 4x + y = 6
Concept: undefined >> undefined
Solve the following equations by the reduction method.
5x + 2y = 4, 7x + 3y = 5
Concept: undefined >> undefined
Solve the following equations by inversion method:
x + y = 4, 2x – y = 5
Concept: undefined >> undefined
Solve the following equation by the method of inversion:
2x - y = - 2, 3x + 4y = 3
Concept: undefined >> undefined
Solve the following equations by the method of inversion:
x + y+ z = 1, 2x + 3y + 2z = 2,
ax + ay + 2az = 4, a ≠ 0.
Concept: undefined >> undefined
Solve the following equation by the method of inversion:
5x − y + 4z = 5, 2x + 3y + 5z = 2 and 5x − 2y + 6z = −1
Concept: undefined >> undefined
Solve the following equations by the method of inversion:
x + y + z = - 1, y + z = 2, x + y - z = 3
Concept: undefined >> undefined
Express the following equations in matrix form and solve them by the method of reduction:
x − y + z = 1, 2x − y = 1, 3x + 3y − 4z = 2
Concept: undefined >> undefined
Express the following equations in matrix form and solve them by the method of reduction:
`x + y = 1, y + z = 5/3, z + x 4/33`.
Concept: undefined >> undefined
Express the following equations in matrix form and solve them by the method of reduction:
2x - y + z = 1, x + 2y + 3z = 8, 3x + y - 4z = 1.
Concept: undefined >> undefined
Express the following equations in matrix form and solve them by the method of reduction:
x + 2y + z = 8, 2x + 3y – z = 11, 3x – y – 2z = 5.
Concept: undefined >> undefined
The cost of 4 pencils, 3 pens, and 2 books is ₹ 150. The cost of 1 pencil, 2 pens, and 3 books is ₹ 125. The cost of 6 pencils, 2 pens, and 3 books is ₹ 175. Find the cost of each item by using matrices.
Concept: undefined >> undefined
The sum of three numbers is 6. Thrice the third number when added to the first number, gives 7. On adding three times the first number to the sum of second and third numbers, we get 12. Find the three number by using matrices.
Concept: undefined >> undefined
An amount of ₹ 5000 is invested in three types of investments, at interest rates 6%, 7%, 8% per annum respectively. The total annual income from these investments is ₹ 350. If the total annual income from the first two investments is ₹ 70 more than the income from the third, find the amount of each investment using matrix method.
Concept: undefined >> undefined
Solve the following equations by the method of inversion:
2x + 3y = - 5, 3x + y = 3
Concept: undefined >> undefined
Express the following equations in matrix form and solve them by the method of reduction:
x + 3y + 2z = 6,
3x − 2y + 5z = 5,
2x − 3y + 6z = 7
Concept: undefined >> undefined
A table of values of f, g, f' and g' is given :
| x | f(x) | g(x) | f'(x) | g'(x) |
| 2 | 1 | 6 | –3 | 4 |
| 4 | 3 | 4 | 5 | -6 |
| 6 | 5 | 2 | –4 | 7 |
If r(x) =f [g(x)] find r' (2).
Concept: undefined >> undefined
A table of values of f, g, f' and g' is given :
| x | f(x) | g(x) | f'(x) | g'(x) |
| 2 | 1 | 6 | –3 | 4 |
| 4 | 3 | 4 | 5 | -6 |
| 6 | 5 | 2 | –4 | 7 |
If R(x) =g[3 + f(x)] find R'(4).
Concept: undefined >> undefined
