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

By equating coefficients of variables, solve the following equations. 3x - 4y = 7; 5x + 2y = 3 - Algebra

Advertisements
Advertisements

प्रश्न

By equating coefficients of variables, solve the following equations.

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

बेरीज
Advertisements

उत्तर

3x - 4y = 7    ...(I)

5x + 2y  = 3   ...(II)

Multiply (II) with 2

10x + 4y  = 6     ...(III)

Adding (I) and (III)

3x - 4y = 7
10x + 4y  = 6 
13x = 13

⇒ x = 1

Putting the value of x in (I) we get

∴ 3x - 4y = 7

⇒ 3 × 1 - 4y = 7

⇒ 3 - 4y = 7

⇒ y = -1

Thus, x = 1 and y = -1

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 (3) (i) | पृष्ठ ९१

संबंधित प्रश्‍न

Solve (a – b) x + (a + b) y = `a^2 – 2ab – b^2 (a + b) (x + y) = a^2 + b^2`


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

3x + 4y = 10 and 2x – 2y = 2


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

3x – 5y – 4 = 0 and 9x = 2y + 7


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 solution (if they exist) by the elimination method:

If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes `1/2` if we only add 1 to the denominator. What is the fraction?


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.


Solve the following simultaneous equation.

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


Solve the following simultaneous equation.

2x + y = -2 ; 3x - y = 7 


Solve the following simultaneous equation.

x − 2y = −2 ; x + 2y = 10 


Solve the following simultaneous equation.

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


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.


The solution of the equation ax + by + 5 = 0 and bx − ay − 12 = 0 is (2, – 3). Find the values of a and b


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 ______.


Evaluate: (1004)3


The ratio of two numbers is 2:3. If 5 is added in each numbers, then the ratio becomes 5:7 find the numbers.

The ratio of two numbers is 2:3.

So, let the first number be 2x and the second number be `square`.

From the given condition,

`((2x) + square)/(square + square) = square/square`

`square (2x + square) = square (square + square)`

`square + square = square + square`

`square - square = square - square`

`- square = - square`

x = `square`

So, The first number = `2 xx square = square`

and, Second number =  `3 xx square = square`

Hence, the two numbers are `square` and `square`


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×