Question

Check which of the following are solutions of the equation X - 2y=4 and which are not : i. (4,0) ii. (1,1)​

Answer 1

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