# Check Which of the Following Are Solutions of the Equation 2x – Y = 6 and Which Are Not : - Mathematics

Check which of the following are solutions of the equation 2x – y = 6 and which are not :

(1) (3, 0)    (2) (0, 6)    (3) (2, −2)     (4) (√3, 0 )    (5) (1/2,-5)

#### Solution

In the equation 2x - y = 6 we get

LHS = 2x - y and RHS = 6

(1)   Substituting x = 3  and y = 0  in 2x - y = 6 , we get

LHS = 2× 3 -0 = 6 - 0 = 6  = RHS

So, x = 3, y = 0  or (3. 0) is  a solution of 2x - y = 6

(2)  Substituting  x  = 0  and  y = 6 in 2x - y . we get

LHS = 2 × 0 - 6 = -6 ≠ RHS

So, (0,6) is not a solution of the equation 2x - y = 6

(3 )  Substituting x = 2 , y =-2 in 2x - y = 6 , we get

LHS = 2 × 2 (-2) = 4 + 2 = 6 = RHS

So ( 2 ,-2) is a sloution of 2x - y = 6

(4)   Substituting x = sqrt3  and y = 0  in 2x - y = 6, We get

LHS 2 ×  sqrt3-0 = 2sqrt3  ≠ RHS

So. (sqrt 3, 0 ) is not a solution of the equation 2x - y = 6

(5) Substituting x =1/2 and y = -5 in 2x -y = 6 , We get

LHS = 2 xx 1/2 - (-5)= 1 + 5 = 6 RHS

So . (1/2, - 5  ) is a solution of the 2x - y = 6

Concept: Solution of a Linear Equation
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 7 Linear Equations in Two Variables
Exercise 7.2 | Q 3

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