Home
Class 10
MATHS
Solve the following pair of linear equat...

Solve the following pair of linear equations by the substitution method. (i) `x+y=14 ;x- y=4`(ii) `s-t=3; s/3+t/2=6`(iii) `3x-y=3;9x-3y=9` (iv) `0. 2 x+0. 3 y=1. 3 ;0. 4 x+0. 5 y=2. 3`(v) `sqrt(2)x+sqrt(3)y=0;sqrt(3)x-sqrt(8)y=0`(vi)`3x/2-5y/2=-2;x/3+y/2=13/6`

Text Solution

AI Generated Solution

Let's solve the given pairs of linear equations using the substitution method step by step. ### (i) Solve the equations: **1.** \( x + y = 14 \) **2.** \( x - y = 4 \) **Step 1:** Solve the second equation for \( x \): \[ ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    NCERT|Exercise EXERCISE 3.6|2 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    NCERT|Exercise EXERCISE 3.5|4 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    NCERT|Exercise Solved Examples|19 Videos
  • NCERT THEOREMS

    NCERT|Exercise THEOREM 10.1|2 Videos
  • POLYNOMIALS

    NCERT|Exercise EXERCISE 2.4|5 Videos

Similar Questions

Explore conceptually related problems

sqrt(2)x+sqrt(3)y=0sqrt(3)x-sqrt(8)y=0

sqrt(2)x + sqrt(3)y=0 sqrt(5)x - sqrt(2)y=0

Solve the following pair of linear equations by substitution method: 3x+ 2y- 7= 0 and 4x+ y-6= 0

Solve the following pair of linear equations by the substitution method: 0.2x + 0.3y =1.3 0.4x + 0.5y= 2.3

Solve the following pair of linear equations by the substitution method: sqrt2x+ sqrt3y= 0 sqrt3x - sqrt8y=0

Solve the pair of linear equation by substitution method. sqrt(2)x+sqrt(3y)-sqrt(8)y=0

Solve the following pair of linear equations by the substitution method: (3x)/(2)- (5y)/(3)= -2 (x)/(3) + (y)/(2)= (13)/(6)

Solve the pair of linear equation by substitution method. 0.2x+0.3y=1.3, 0.4x+0.5y=2.3

Solve the following pair of linear equations by the substitution method. (3x)/(2)-(5y)/(3)=-2 (x)/(3)+(y)/(2)=(13)/(6) .

Solve the following equation 3x+5y=9 and 2x+3y=4 by substitution method