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Solve the following equations by the reduction method.
x + 3y = 2, 3x + 5y = 4
Concept: undefined >> undefined
Solve the following equations by the reduction method.
3x – y = 1, 4x + y = 6
Concept: undefined >> undefined
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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
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
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 s(x) = f[9 − f (x)] find s'(4).
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 S(x) =g [g(x)] find S'(6).
Concept: undefined >> undefined
