Advertisements
Advertisements
प्रश्न
Solve the following simultaneous equations
`1/(3x)-1/(4y)+1=0`;
`1/(5x)+1/(2y)=4/15`
उत्तर
`1/(3x)-1/(4y)+1=0` and `1/(5x)+1/(2y)=4/15`
`1/(3x)-1/(4y)=-1` and `1/(5x)+1/(2y)=4/15`
Let `1/x=a` and `1/y=b`
`a/3-b/4=-1` and `a/5+b/2=4/15`
`4a-3b=-12 and 2a+5b=40/15`
`4a-3b=-12 and 2a+5b=8/3`
`4a-3b=-12 and 6a+15b=8`
Solving thetwo equations, we get a=-2 and b=4/3
resubstituting `1/x=a and 1/y=b`
`=>x=-1/2 and y=3/4`
APPEARS IN
संबंधित प्रश्न
If the point (3, 2) lies on the graph of the equation 5x + ay = 19, then find a.
The difference of two natural numbers is 5 and the difference of their reciprocals is 1/10. Find the numbers
The difference of two natural numbers is 3 and the difference of their reciprocals is 3/28 . Find the numbers
Form the pair of linear equations for the following problems and find their solution by substitution method.
The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is ₹ 105 and for a journey of 15 km, the charge paid is ₹ 155. What are the fixed charges and the charge per km? How much does a person have to pay for travelling a distance of 25 km?
Solve the following systems of equations:
`x/2 + y = 0.8`
`7/(x + y/2) = 10`
Solve the following systems of equations:
`1/(5x) + 1/(6y) = 12`
`1/(3x) - 3/(7y) = 8, x ~= 0, y != 0`
Solve the following systems of equations:
`"xy"/(x + y) = 6/5`
`"xy"/(y- x) = 6`
Solve the following systems of equations:
`2/(3x + 2y) + 3/(3x - 2y) = 17/5`
`5/(3x + 2y) + 1/(3x - 2y) = 2`
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.
A and B each have a certain number of mangoes. A says to B, “if you give 30 of your mangoes, I will have twice as many as left with you.” B replies, “if you give me 10, I will have thrice as many as left with you.” How many mangoes does each have?
Solve the following set of simultaneous equation.
2y - x = 0; 10x + 15y = 105
Solve the following set of simultaneous equation.
2x + 3y + 4 = 0; x − 5y = 11
For the equation 4x + 5y = 20 find y when x = 0
If x + 2y = 5 and 2x + y = 7, then find the value of x + y
In the equation 2x – y = 2 if x = 3, then find y = ?
Ajay is younger than Vijay by 3 years. The sum of their ages is 25 years, what is the age of Ajay
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?
Aruna has only Rs 1 and Rs 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs 75, then the number of Rs 1 and Rs 2 coins are, respectively ______.
A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days, and an additional charge for each day thereafter. Latika paid Rs 22 for a book kept for six days, while Anand paid Rs 16 for the book kept for four days. Find the fixed charges and the charge for each extra day.
