Home
Class 10
MATHS
Solve (7)/(x) + (8)/(y) = 2 and (2)/(x)...

Solve `(7)/(x) + (8)/(y) = 2` and `(2)/(x) + (12)/(y) = 20`.

Text Solution

AI Generated Solution

To solve the equations \( \frac{7}{x} + \frac{8}{y} = 2 \) and \( \frac{2}{x} + \frac{12}{y} = 20 \), we will follow these steps: ### Step 1: Substitute Variables Let \( v = \frac{1}{x} \) and \( u = \frac{1}{y} \). Then we can rewrite the equations as: 1. \( 7v + 8u = 2 \) (Equation 1) 2. \( 2v + 12u = 20 \) (Equation 2) ### Step 2: Elimination Method ...
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3a|18 Videos
  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3A|8 Videos
  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|5 Videos
  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos

Similar Questions

Explore conceptually related problems

Solve : (7)/(x) + (8)/(y) = 2 and (2)/(x) + (13)/(y) = 22

Solve (20)/(x + y) + (3)/(x - y) = 7 and (8)/(x - y)- (15)/(x + y) = 5 .

Solve : 4x + (6)/(y ) = 15 and 3x - (4)/(y) = 7 . Hence, find 'a' if y = ax -2.

Solve : (2x)/(3)-(3x)/(8)=(7)/(12)

Solve for x and y : 2^(y-x) (x + y) = 1 and (x + y)^(x - y) = 2 .

Solve : 8 ^(x+1) = 16 ^(y+2) and ( (1)/(2)) ^(3+x) = ((1)/(4))^(3y)

{:((x)/(2) + y = 0.8),((7)/(x + (y)/(2)) = 10):}

Solve for x and y : y = 2x + 9 and 7x + 3y = -51

Solve 3x - 4y = 20 and x + 2y = 5.

Solve: {:(x + y = 6),(x - y = 2):}