हिंदी

Solve the following simultaneous equation. x - 2y = - 2 ; x + 2y = 10 - Algebra

Advertisements
Advertisements

प्रश्न

Solve the following simultaneous equation.

x − 2y = −2 ; x + 2y = 10 

योग
Advertisements

उत्तर

x − 2y = −2    ...(I)

x + 2y = 10    ...(II)

Adding (I) and (II)

    x − 2y = −2
+ x + 2y = 10 
    2x = 8

⇒ x = 4

Putting the value of x in (I) we get

∴ x - 2y = −2

⇒ 4 − 2y = −2

⇒ −2y = −6

⇒ y = 3

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) (vi) | पृष्ठ ९१

संबंधित प्रश्न

Solve the following system of linear equations by applying the method of elimination by equating the coefficients

(i)4x – 3y = 4 

2x + 4y = 3

(ii)5x – 6y = 8

3x + 2y = 6


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


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

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.


Ajay is younger than Vijay by 5 years. Sum of their ages is 25 years. What is Ajay's age?


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`


By equating coefficients of variables, solve the following equation.

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


By equating coefficients of variables, solve the following equation.

4x + y = 34 ; x + 4y = 16 


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


Complete the activity.


Difference between two numbers is 3. The sum of three times the bigger number and two times the smaller number is 19. Then find the numbers


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 age of the father is twice the sum of the ages of his two children. After 20 years, his age will be equal to the sum of the ages of his children. Find the age of the father.


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×