Question

which of the following is a linear question in two variables??
1. 5x - 2y = 0
2. 3x - 2y + 1 = 0

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Answer 1

Step-by-step explanation:

3x−2y=4 ..(i)

2y=3x−4

y=(3x−4)/2

When x=0,

y=(3×0−4)/2=(0−4)/2=−4/2=−2

when x=2,

y=(3×2−4)/2=(6−4)/2=2/2=1

when x=4,

y=(3×4−4)/2=(12−4)/2=8/2=4

x=0,2,4y=−2,1,4Plot the above points on graph. Join them.

5x−2y=0 …(ii)

2y=5x

y=5x/2

When x=0,

y=0

When x=2,

y=5×2/2=5

When x=−2,

y=5×−2/2=−5

x=0,2,−2y=0,5,−5Plot the above points on graph. Join them.

It is clear from the graph that the two lines intersect at (−2,−5).

So the solution of the given equations are x=−2 and y=−5.