An important and exam oriented question from linear equations in two variables as it was already asked in previous year paper of 2005 in which we have given that 2x-5y+4=0, 2x+y-8=0 and we have been asked to solve these equations graphically

RS Aggarwal, Class 10, chapter 3A, question no 4

## 2x−5y+4=0….(1)

2x+y−8=0……(2)

Isolate x from equation (1) and find the value of x and y.

2x−5y+4=0

or 2x=5y−4

x=(5y−4)/2

Similarly, isolate x from equation (2) and find the values of x and y.

2x+y−8=0

or y=8−2x

Graph:

Both the lines intersect each other at point (3,2).

So, x=3,y=2