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Graphical representation of the pair of equation whose lines are interesting |
| Answer» \xa0x + y = 3; 2x + 5y = 12\xa0Sol:2x + 5y = 12We have,x + y = 3When y = 0 we have x =3When x= 0 we have y =3Thus we have the following table giving points on the line x+y =3\xa0\tX03Y30\t\xa0Now, 2+5y= 12= y =\xa012−2x5When x= 1, we have= y =\xa012−2(1)5\xa0= 4Thus we have the following table giving points on the line 2x+5y=12\xa0\tX1-4Y24\t\xa0Graph of the equation x+y =3 and 2x+5y=12 is\xa0\xa0Clearly two lines intersect at a point P (1,2)Hence x= 1 and y = 2 | |