Home
Class 10
MATHS
For solving each pair of equations, in t...

For solving each pair of equations, in this exercise, use the method of elimination by equation coefficiients :
3x - y = 23
`(x)/(3) + (y)/(4) = 4`

Text Solution

Verified by Experts

The given equations are 3x - y = 23 ….(1)
and `(x)/(3) + (y)/(4) = 4`
implies 4x + 3y = 48 ….(2)
Multiplying equation (1) by 3 and (2) by 1, we get
9x - 3y = 69 ….(3)
4x + 3y = 48 ….(4)
Adding equations (3) and (4), we get
13x = 117
implies x = 9
Substituting x = 9 in equation (1), we get
`3 xx 9 - y = 23`
implies 27 - y = 23
implies -y -4
implies y = 4
Hence, the solution is `{:(x = 9),(y = 4):}}`
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

For solving each pair of equations, in this exercise, use the method of elimination by equation coefficients : y = 2x - 6 y = 0

For solving each pair of equations, in this exercise, use the method of elimination by equation coefficiients : (x - y)/(6) = 2(4 - x)

For solving each pair of equations, in this exercise, use the method of elimination by equating coefficients : 13 + 2y = 9x 3y = 7x

For solving each pair of equations, in this exercise, use the method of elimination by equation coefficiients : 2x - 3y -3 = 0 (2x)/(3) + 4y + (1)/(2) = 0

For solving each pair of equations, in this exercise, use the method of elimination by equation coefficiients : (1)/(5) (x - 2) = (1)/(4) (1 - y)

For solving each pair of equations, in this exercise, use the method of elimination by equation coefficiients : 3 - (x - 5) = y + 2 2 (x + y) = 4 - 3y

For solving each pair of equations, in this exercise, use the method of elimination by equation coefficiients : 13x + 11y = 70 11x + 13y = 74

For solving each pair of equations, in this exercise, use the method of elimination by equation coefficiients : (5y)/(2) - (x)/(3) =8 (y)/(2) + (5x)/(3) = 12

For solving each pair of equations, in this exercise, use the method of elimination by equation coefficiients : 41x + 53y = 135 53x + 41y = 147

Solve using the method of elimination by equating coefficients : 3x - 4y = 10 and 5x - 3y = 24