Question

18. Solve the following in equationes and
represent the souction graphically- -
xt 1732-7. WherextW​

Answer 1

Answe

2x−7y=6 ….(i)

2x=7y+6

x=(7y+6)/2

when y=0

x=(7×0+6)/2=6/2=3

when y=−1

x=(7×−1+6)/2=−1/2=−0.5

when y=−2

x=(7×−2+6)/2=−8/2=−4

x= 3 ,−0.5 ,−4

y= 0 ,−1 ,−2

Mark the above points on graph. Join them.

5x−8y=−4 …(ii)

5x=8y−4

x=(8y−4)/5

when y=0

x=(8×0−4)/5=−4/5=0.8

when y=3

x=(8×3−4)/5=(24−4)/5=20/5=4

when y=−2

x=(8×−2−4)/5=(−16−4)/5=−20/5=−4

x= 0.8 ,4 ,−4

y= 0 ,3 ,−2

Mark the above points on graph. Join them.

It is clear from the graph that the two lines intersect at (−4,−2).

So the solution of the given equations are x=−4 and y=−2.

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