Question

Draw graph of
x-y=4
x-2y=13
answer the question
(i)solutions of given equation
(ii)vertices of the triangle formed
(iii)area of the triangle fromed by given lines and y-axis
(iv)co-ordinates of the points where lines cut the y-axis ​

Answer 1

ANSWER

Given,

x−y+1=0....(1)

3x+2y−12=0....(2)

put x=0 in (1)

0−y+1=0⇒y=1

(0,1).....(a)

put y=0 in (2)

3x+2(0)−12=0→x=4

(4,0).....(b)

put x=0 in (2)

3(0)+2y−12=0→y=6

(0,6)......(c)

put y=0 in (1)

x−0+1=0⇒x=−1

(−1,0)...(d)

From figure, the vertices of triangle are (−1,0),(2,3),(4,0)