Solve
using Graph!
2x + y = 5× 1 –1
x + y = 4 x 1 —2​

1 thought on “Solve <br />using Graph!<br />2x + y = 5× 1 –1<br />x + y = 4 x 1 —2​”

1. Answer:

   2x−y−4=0 …(i)

   y=2x−4

   When x=1,y=2×1−4=2−4=−2

   When x=2,y=2×2−4=4−4=0

   When x=3,y=2×3−4=6−4=2

   x= 1 ,2 ,3

   y= −2 ,0 ,2

   Mark the above points on graph. Join them.

   x+y+1=0 …(ii)

   y=−x−1

   When x=0,y=0−1=−1

   When x=−2,y=2−1=1

   When x=−1,y=1−1=0

   x= −2 ,−1 ,0

   y= 1 ,0 ,−1

   Mark the above points on graph. Join them.

   It is clear from the graph that the two lines intersect at (1,−2).

   So the solution of the given equations are x=1 and y=−2.

   The area of the triangle formed by these lines and Y axis =1/2 ×base×height

   =1/2×3×1

   =1.5sq. units

   Hence area of the triangle is 1.5sq. units

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