Advertisements
Advertisements
प्रश्न
Solve the following systems of equations:
`3/x - 1/y = -9`
`2/x + 3/y = 5`
उत्तर
Let 1/x = u and 1/y Then, the given system of equations becomes
3u - v = -9 ....(i)
2u + 3v = = 5 ....(ii)
Multiplying equation (i) by 3 an equation (ii) by 1, we get
9u - 3v = -27 ....(iii)
2u + 34v = 5 ...(iv)
Adding equation (i) and equation (ii), we get
9u + 2u - 3v + 3v = -27 + 5
=> 11u = -22
`=> u = (-22)/11 = -2`
Putting u = -2 in equation (iv), we get
`2 xx (-2) + 3v = 5`
`=> -4 + 3v = 5`
=> 3v = 5 + 4
=> v = 9/3 = 3
Hence `x = 1/u = 1/(-2) = (-1)/2` and `y = 1/v = 1/3`
So, the solution of the given system of equation is `x = (-1)/2 , y = 1/3`
APPEARS IN
संबंधित प्रश्न
Form the pair of linear equations for the following problem and find their solution by substitution method.
Five years hence, the age of Jacob will be three times that of his son. Five years ago, Jacob’s age was seven times that of his son. What are their present ages?
Solve the following systems of equations:
7(y + 3) − 2(x + 2) = 14
4(y − 2) + 3(x − 3) = 2
Solve the following systems of equations:
`"xy"/(x + y) = 6/5`
`"xy"/(y- x) = 6`
5 pens and 6 pencils together cost Rs 9 and 3 pens and 2 pencils cost Rs 5. Find the cost of
1 pen and 1 pencil.
Solve the following system of equations by eliminating ‘y’ (by substitution) :
3x – y = 3
7x + 2y = 20
For the equation 4x + 5y = 20 find y when x = 0
Complete the table to draw the graph of 2x – 3y = 3,
| x | − 6 | `square` |
| y | `square` | 1 |
| (x, y) | `square` | `square` |
If (2, −5) is the solution of the equation 2x − ky = 14, then find k = ?
The difference between a two digit number and the number obtained by interchanging the digits is 27. What is the difference betw een the two digits of the number?
Two years ago, Salim was thrice as old as his daughter and six years later, he will be four years older than twice her age. How old are they now?
