Question

3. Check which of the following are solutions of the equation :
not: (√2,4 √2)
(i) (0,2)
(ii) (2,0
(iii) (4.0
(iv) (12, 413) (v) (1,1)
the equation 2x + 3y

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Answer 1

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Linear Equations in Two Variable

Solution of Linear Equations in Two Variables

Check which of the followin...

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Asked on December 26, 2019 by

Deepshi Bhadwa

Check which of the following are solutions of an equation x+2y=4?

(i) (0, 2) (ii) (2, 0) (iii) (4, 0) (iv) (

2

,−3

2

) (v) (1, 1) (vi) (-2, 3)

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ANSWER

Given equation isx+2y=4

(i) Put the value x=0 and y=2 we get

0+2×2=4

⇒4=4

Then both sides are equal then (0,2) is the solution of equation x+2y=4

(ii) Put the value x=2 and y=0 we get

2+2×0=4

⇒2



=4

Then both sides are not equal then (0,2) is not the solution of equation

x+2y=4

(iii) Put the value x=4 and y=0 we get

4+2×0=4

⇒4=4

Then both sides are equal then (4,0) is the solution of equation x+2y=4

(iv)x+2y=4

Put x=

2

,y=−3

2

we get

2

+2(−3

2

)=4

⇒

2

−3

2

=4

⇒−2

2



=4

Then both sides are not equal then (

2

,−3

2

) is not the solution of equation

x+2y=4

(v) Put the value x=1 and y=1 we get

1+2×1=4

⇒3



=4

Then both sides are not equal then (1,1) is not the solution of equation

x+2y=4

(vi) Put the value x=-2 and y=3 we get

−2+2×3=4

⇒4=4

Then both sides are equal then (-1,3) is the solution of equation

x+2y=4