Question

solve the following pair of linear equations 6x-y=-4 and 2x-5y=8.Shade the region bounded by the lines and y-axis​

Answer 1

Answer:

x=14

Y=4

Step-by-step explanation:

6x-y=-4....(1)

2x-5y=8....(2)

then

6x-y+4=2x-5y-8

6x-2x-y+5y+4+8=0

4x+4y+12=0

4x=-12-4y

x=-12-4y/4

let us take

x=-12-y

6x-y=-4

-12-y-y=-4

-12-2y=-4

-2y=12-4

-2y=8

....[y=4]........(3)

Then putting (3) in (2)

we get,

2x-5(4)=8

2x-20=8

2x=20+8

.......[x=14]

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HENCE PROVED

Answer 2

Given : 6x-y+4=0 and 2x-5y=8.

To Find : Solve

Shade the region bounded by the lines and the y-axis

Solution:

6x-y+4=0  => 6x = y - 4

2x-5y=8  => 6x - 15y  = 24  => 6x = 15y +24

Equate 6x

 15y + 24  = y - 4

=> 14y = -28

=>  y = - 2

6x = y - 4

=> 6x = - 6

=> x = - 1

point is ( - 1 , -2)

Solution is  x = - 1  and y =  - 2

6x-y+4=0  at y axis x = 0

=> y = 4

(0 , 4)

2x-5y=8   at y axis x = 0

=> y = (-8/5) = -1.6

(0 , - 1.6)

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