मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

Solve the following simultaneous equation. x + y = 11 ; 2x - 3y = 7

Advertisements
Advertisements

प्रश्न

Solve the following simultaneous equation.

x + y = 11 ; 2x - 3y = 7 

बेरीज
Advertisements

उत्तर

x + y = 11     ...(I)

2x - 3y  = 7     ...(II)

Multiply (I) with 3

3x + 3y = 33      ...(III)

Adding (II) and (III)

2x - 3y = 7
3x + 3y = 33
+                  
5x = 40

x = `40/5`

⇒ x = 8

Putting the value of x in (I)

8 + y = 11

y = 11 - 8

⇒  y = 3 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Linear Equations in Two Variables - Problem Set 5 [पृष्ठ ९१]

APPEARS IN

बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
पाठ 5 Linear Equations in Two Variables
Problem Set 5 | Q (2) (iii) | पृष्ठ ९१

संबंधित प्रश्‍न

Solve the following system of equations: 15x + 4y = 61; 4x + 15y = 72


Solve the following system of equations by using the method of elimination by equating the co-efficients.

`\frac { x }{ y } + \frac { 2y }{ 5 } + 2 = 10; \frac { 2x }{ 7 } – \frac { 5 }{ 2 } + 1 = 9`


Solve the following system of linear equations :

2(ax – by) + (a + 4b) = 0

2(bx + ay) + (b – 4a) = 0


Solve the following pair of linear equation by the elimination method and the substitution method:

x + y = 5 and 2x – 3y = 4


Solve the following pair of linear equation by the elimination method and the substitution method.

`x/2 + (2y)/3 = -1 and x - y /3 = 3`


Form the pair of linear equation in the following problem, and find its solutions (if they exist) by the elimination method:

Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu?


Solve the following simultaneous equation.

2x + y = -2 ; 3x - y = 7 


Solve the following simultaneous equation.

`x/3 + y/4 = 4; x/2 - y/4 = 1`


Solve the following simultaneous equation.

`x/3 + 5y = 13 ; 2x + y/2 = 19`


By equating coefficients of variables, solve the following equation.

4x + y = 34 ; x + 4y = 16 


A fraction becomes `1/3` when 2 is subtracted from the numerator and it becomes `1/2` when 1 is subtracted from the denominator. Find the fraction.


If 52x + 65y = 183 and 65x + 52y = 168, then find x + y = ?


The length of the rectangle is 5 more than twice its breadth. The perimeter of a rectangle is 52 cm, then find the length of the rectangle.


The semi perimeter of a rectangular shape garden is 36 m. The length of the garden is 4 m more than its breadth. Find the length and the breadth of the garden.


The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number get reversed. The number is ______.


The angles of a triangle are x, y and 40°. The difference between the two angles x and y is 30°. Find x and y.


A 2-digit number is such that the product of its digits is 24. If 18 is subtracted from the number, the digits interchange their places. Find the number.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×