Linear Equations and Inequalities in One Variable 219
9. If the replacement set is {-3, -2, -1, 0, 1, 2, 3}, solve the inequation 3x-1, by 2 less than 2
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∵8x=5y⇒x=
8
5y
......(i)
and 13x=8y+1⇒x=
13
8y+1
.....(ii)
From equations (i) and (ii),
8
5y
=
13
8y+1
⇒65y=64y+8⇒y=8
On substituting this value of y in equation (i), we get
x=
8
5×8
=5
∴x=5 and y=8
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