Question

solve x and y .the equation is y=2x+1 &
y=4x-1​

Answer 1

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Step-by-step explanation:

Solving the curve y

2

=2x and y=4x−1 we get the point of intersection

of the curves which are (

2

1

,1) and (

8

1

,−

2

1

)

Hence required area is,

=∫

−

2

1

1

(

4

y+1

−

2

1

y

2

)dy

=

4

1

∫

−

2

1

1

(y+1−2y

2

)dy=

4

1

(

2

y

2

+y−

3

2

y

3

)

−

2

1

1

=

32

9

Answer 2

Step-by-step explanation:

$y = 2x + 1...(i) \\ y = 4x - 1...(ii)$

put value of y = 2x + 1 in equation (ii)

$2x - 4x = - 1 - 1$

$- 2x = - 2$

$x = 1$

put x = 1 in equation (i)

$y = 2(1) + 1$

$= 2 + 1$

$= 3$