Question

Draw the graph of x+2y-7=0 and 2x-y-4=0 Shade the area bounded by there line and y-axis.

Answer 1

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Answer 2

ΔGiven,
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.
See the graph here in attachement.