5. The co-ordinates of the point of intersection of the lines ax + y = 6 and x + 2y = b ar
(1,3).
a) Find the value of a and of b.
b) Hence find the y-intercepts of both the lines.
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Answer:
Given 2x−3y+5=0.....(1) & 7x+4y=3.........(2)
Multiply (1) with 4 and (2) with 3
we get,
(1)×4⇒8x−12y+20=0 ...... (3)
(2)×3⇒21x+12y−9=0 ....... (4)
Adding (3) and (4), we get
x=
29
−11
and substitute this x in any equation and we get y=
29
41
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