Question

Without drawing the graph, show that y = 5x - 3y = 4 - 2x and 2x - 3y = 8 are concurrent lines
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Answer 1

Step-by-step explanation:

y=5x-3y=4-2x

On solving we get,

7x-4y=4____(i)

2x-3y=8____(ii)

a=7,b=-4, c=4

a'=2,b'=-3,c'=8

a/a'=7/2

b/b'= -4/-3=4/3

c/c'=4/8=1/2

As we know that If the line is concurrent or intersecting at one point then it will,

(a/a' is not equal to b/b')

therefore, 7/2 is not equal to 4/3

So the line will concurrent and intersect and one point