solve the following pair of linear equations by graphically 2x+y=6,2x-y+2=0
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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
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Answer:
4:1
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