हिंदी

Solve the following simultaneous equation. 2x - y = 5 ; 3x + 2y = 11

Advertisements
Advertisements

प्रश्न

Solve the following simultaneous equation.

2x - y = 5 ; 3x + 2y = 11 

योग
Advertisements

उत्तर

2x - y = 5     ...(I)

3x + 2y = 11    ...(II)

Multiplying (I) with 2 we get

4x - 2y = 10    ...(III)

Adding (II) with (III)

    3x + 2y = 11
+ 4x - 2y = 10
    7x     =    21

⇒ x = 3

Putting the value of x in (I) we get

∴ 2x - y = 5 

⇒ 2 × 3 - y = 5

⇒ 6 - y = 5

⇒ y = 1

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Linear Equations in Two Variables - Problem Set 5 [पृष्ठ ९१]

APPEARS IN

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

संबंधित प्रश्न

Solve for x and y : `\frac { ax }{ b } – \frac { by }{ a } = a + b ; ax – by = 2ab`


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: 

3x + 4y = 10 and 2x – 2y = 2


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?


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

Meena went to a bank to withdraw ₹ 2000. She asked the cashier to give her ₹ 50 and ₹ 100 notes only. Meena got 25 notes in all. Find how many notes of ₹ 50 and ₹ 100 she received.


Two types of boxes A, B are to be placed in a truck having a capacity of 10 tons. When 150 boxes of type A and 100 boxes of type B are loaded in the truck, it weighes 10 tons. But when 260 boxes of type A are loaded in the truck, it can still accommodate 40 boxes of type B, so that it is fully loaded. Find the weight of each type of box.


If the length of a rectangle is reduced by 5 units and its breadth is increased by 3 units, then the area of the rectangle is reduced by 9 square units. If length is reduced by 3 units and breadth is increased by 2 units, then the area of rectangle will increase by 67 square units. Then find the length and breadth of the rectangle.


Solve the following simultaneous equation.

x - 2y = -1 ; 2x - y = 7


Solve the following simultaneous equation.

x + y = 11 ; 2x - 3y = 7 


Solve the following simultaneous equation.

2x + y = -2 ; 3x - y = 7 


Solve the following simultaneous equation.

`2/x + 3/y = 13` ; `5/x - 4/y = -2`


By equating coefficients of variables, solve the following equations.

3x - 4y = 7; 5x + 2y = 3


By equating coefficients of variables, solve the following equation.

5x + 7y = 17 ; 3x - 2y = 4


The difference between an angle and its complement is 10° find measure of the larger angle.


Complete the activity.


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.


Evaluate: (1004)3


Read the following passage:

Two schools 'P' and 'Q' decided to award prizes to their students for two games of Hockey ₹ x per student and Cricket ₹ y per student. School 'P' decided to award a total of ₹ 9,500 for the two games to 5 and 4 Students respectively; while school 'Q' decided to award ₹ 7,370 for the two games to 4 and 3 students respectively.

Based on the above information, answer the following questions:

  1. Represent the following information algebraically (in terms of x and y).
  2. (a) What is the prize amount for hockey?
    OR
    (b) Prize amount on which game is more and by how much?
  3. What will be the total prize amount if there are 2 students each from two games?

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×