Question

solve 2x+3y=8 and x+2y=5
graphically​

Answer 1

Given 2x+3y=8 ......... (1)

x+2y=5 ........... (2)

From (1),

we have x= (8−3y)/2............ (3)

From (2), we have x=5−2y .......... (4)

Now, comparing the value of x, we get

(8−3y)/2 =5−2y

or 8−3y=10−4y

or 4y−3y=10−8

or y=2

Using y=2 in (4), x=5−2×2=1.