Question

Solve graphically : x+2y>0, 2x+y<4, x>0 , y<2

Answer 1

Equations:-

x + 2y -7 = 0  ----------------(i)

 &,

 2x - y - 4 = 0  --------------(ii)

By seeing the equations we come to know that these are linear equations.

because they have power as 1 ;.(x ¹+ 2y¹ -7 = 0 ) 

Take eqn(i)

x + 2y -7 = 0 

⇒ 2y = 7 - x

⇒ y  = (7 - x)/2

To plot a line on graph we need atleast two points.

Substitute any random values for or y and get the points,

if x = 0 ; y = 7/2 = 3.5 

point: A(0, 3.5)

if y = 0 ; x   = 7 

point: B(7, 0)

plot the points  A(0, 3.5) & B(7, 0)  on graph and join the points AB.

So a line is formed AB. that is the graph of the equation(i).

(2). Take eqn(ii)

 2x - y - 4 = 0

⇒ y = 2x - 4

if y = 0;  x = 2

Point: P(2, 0)

if x = 0;  y = -4

point: Q(-4, 0)

Line PQ is formed by joining the points P and Q.

Answer 2

Step-by-step explanation:

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