हिंदी

Solve the Following Systems of Equations: `Sqrt2x + Sqrt3y = 0` `Sqrt3x - Sqrt8y = 0` - Mathematics

Advertisements
Advertisements

प्रश्न

Solve the following systems of equations:

`sqrt2x + sqrt3y = 0`

`sqrt3x - sqrt8y = 0`

उत्तर

`sqrt2x + sqrt3y = 0`....(i)

`sqrt3x - sqrt8y = 0` ....(ii)

From equation (i), we obtain:

`x = (-3sqrty)/sqrt2` ....(iii)

Substituting this value in equation (ii), we obtain:

`sqrt3 ((- sqrt3y)/sqrt2) - sqrt8y = 0`

`- (3y)/sqrt2 - 2sqrt2y = 0`

`y (-3/sqrt2 - 2sqrt2) = 0`

y = 0

Substituting the value of y in equation (iii), we obtain:

x= 0

`:. x = 0, y = 0`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Pair of Linear Equations in Two Variables - Exercise 3.3 [पृष्ठ ४४]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
अध्याय 3 Pair of Linear Equations in Two Variables
Exercise 3.3 | Q 11 | पृष्ठ ४४

संबंधित प्रश्न

A thief, after committing a theft, runs at a uniform speed of 50 m/minute. After 2 minutes, a policeman runs to catch him. He goes 60 m in first minute and increases his speed by 5 m/minute every succeeding minute. After how many minutes, the policeman will catch the thief?


Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:

A fraction becomes `1/3` when 1 is subtracted from the numerator and it becomes `1/4` when 8 is added to its denominator. Find the fraction.

 


Solve the following systems of equations:

`(7x - 2y)/"xy" = 5`

`(8x + 7y)/"xy" = 15`


Solve each of the following systems of equations by the method of cross-multiplication 

`x/a + y/b = 2`

`ax - by = a^2 - b^2`


Solve each of the following systems of equations by the method of cross-multiplication :

2ax + 3by = a + 2b
3ax + 2by = 2a + b


Solve each of the following systems of equations by the method of cross-multiplication 

bx + cy  = a + b

`ax (1/(a - b) - 1/(a + b)) + cy(1/(b -a) - 1/(b + a)) = (2a)/(a + b)`


Solve each of the following systems of equations by the method of cross-multiplication :

`(ax)/b - (by)/a = a + b`

ax - by = 2ab


Solve the system of equations by using the method of cross multiplication:
7x - 2y – 3 = 0,
`11x - 3/2 y – 8 = 0.`


Solve the following pair of equations:

`(2xy)/(x + y) = 3/2, (xy)/(2x - y) = (-3)/10,  x + y ≠ 0, 2x - y ≠ 0`


Susan invested certain amount of money in two schemes A and B, which offer interest at the rate of 8% per annum and 9% per annum, respectively. She received Rs 1860 as annual interest. However, had she interchanged the amount of investments in the two schemes, she would have received Rs 20 more as annual interest. How much money did she invest in each scheme?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×