Question

draw the graph for the given equations 2x+y=5 and 3x-2y=4 and find the solution from the graph​

Answer 1

Answer:

3x−2y=4 ..(i)

2y=3x−4

y=(3x−4)/2

When x=0,

y=(3×0−4)/2=(0−4)/2=−4/2=−2

when x=2,

y=(3×2−4)/2=(6−4)/2=2/2=1

when x=4,

y=(3×4−4)/2=(12−4)/2=8/2=4

x= 0 ,2 ,4

y= −2 ,1 ,4

Plot the above points on graph. Join them.

5x−2y=0 …(ii)

2y=5x

y=5x/2

When x=0,

y=0

When x=2,

y=5×2/2=5

When x=−2,

y=5×−2/2=−5

x= 0 ,2 ,−2

y= 0 ,5 ,−5

Plot the above points on graph. Join them.

It is clear from the graph that the two lines intersect at

(−2,−5).

So the solution of the given equations are x=−2 and y=−5.

Hope it helps you ✌️