Question

Graphically solve the following pair of linear equations

2x + y = 6 and 2x – y + 2 = 0

Find the ratio of the areas of the two triangles formed by the lines representing these equations with the

x – axis and with the y – axis


answer pls​

Answer 1

Answer:

Given equation is 2x+y=6

y=6−2x....(i)

If x=0,y=6−2(0)=6

x=1,y=6−2(1)=6−2=4

x=2,y=6−2(2)=6−4=2

x 0 1 2

y 6 4 2

I A B C

given equation is 2x−y+2=0

⇒y=2x+2....(ii)

IF x=0,y=2(0)=0+2=2

x=,y=2(1)+2=2+2=4

x=2,y=2(2)+2=4+2=6

X 0 1 2

y 2 4 6

II D E F

The area of ΔBGH formed by lines and x axis =

2

1

GH×BJ

=

2

1

[3−(−1)×(4−0)=

2

1

×4×4=8 sq units.

the area of ΔBAD formed by lines and Y axis =

2

1

AD×KB

=

2

1

[(6−2)×(1−0)=

2

1

×4×1=2 sq units

∴ ratio of areas of two Δs

AreaΔBAD

AreaΔBGH

=

2

8

=

1

4

=4:1