Question

check whether (2,0),(1,1) and (0,2) are solutions or linear equation x-2y=4 or not

Answer 1

(2,0)
x-2y = 2-2(0) = 2 ≠ 4 (not a solution)
(1,1)
x-2y = 1-2(1) = -1 ≠ 4 (not a solution)
(0,2)
x-2y = 0-2(2) = -4 ≠ 4 (not a solution)

Answer 2

hi mate,

solution:

Method To check whether given pair of values is a solution of given equation or not:

 

Sometimes a pair of values is given and we have to check whether this pair is a solution of given linear  equation in two variables or not

 For this we put the given values in given linear equation. If we get LHS = RHS then this pair of values is a solution of given linear equation, otherwise not.

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Solution:

 

i)

Given equation is

x-2y=4

On putting x=0 & y=2 in LHS

LHS= x-2y

0-2×2= -4

-4≠4

LHS ≠RHS

 

Hence, (0,2) is not a solution of x-2y=4

 

ii)

Given equation is

x-2y=4

On putting x=2 & y=0 in LHS

LHS= x-2y

2-2×0= 2

2 ≠4

LHS ≠RHS

 

Hence, (2,0) is not a solution of x-2y=4

 

iii)

Given equation is

x-2y=4

On putting x=4 & y=0 in LHS

LHS= x-2y

4-2×0= 4-0=4

4=4

LHS =RHS

Hence, (4,0) is a solution of x-2y=4

 

Iv)

Given equation is

x-2y=4

On putting x=√2 & y=4√2 in LHS

LHS= x-2y

√2- 2×4√2= √2-8√2=7√2

7√2≠4

LHS ≠RHS

 

Hence, (√2,4√2) is not a solution of x-2y=4

 

V)

Given equation is

x-2y=4

On putting x=1 & y=1 in LHS

LHS= x-2y

1-2×1= 1-2

-1≠4

LHS ≠RHS

 

Hence, (1,1) is not a solution of x-2y=4

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i hope it helps you..