Question

Draw the graphs of lines 3y =4x − 4 and 2x = 3y+4 and determine the point at which these lines meet.

Answer 1

i ) Given linear equation in two

variables.

3y = 4x - 4 ---( 1 )

a ) put x = 4 in equation ( 1 ) , we get

y = 4

b ) put x = 7 in equation ( 1 ) , we get

y = 8

plotting ( 4, 4 ), and ( 7 , 8 ) on the

graph joining them we get line

3y = 4x - 4
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ii ) Second linear equation,

2x = 3y + 4 ----( 2 )

c ) Put x = 5 , we get y = 2 ,

d ) put x = 8 we get y = 4

Plotting ( 5 , 2 ) , ( 8 , 4 ) on the graph

and joining them we get 2x = 3y + 4.

These two lines intersect at ( 0, -4/3 )

( See the attachment )

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Verification :

Given pair linear equations ,

3y = 4x - 4 ----( 1 )

2x = 3y + 4 => 3y = 2x - 4 ----( 2 )

Subtracting ( 2 ) from ( 1 ), we get

0 = 2x

=> x = 0

put x = 0 in equation ( 1 ) , we get

3y = -4

=> y = -4/3

Therefore ,

Two lines meet at ( 0 , -4/3 )

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