Question:
If 8x – 3 = 25 + 17x, then x is
(a) a fraction
(b) an integer
(c) a rational number
(d) Cannot be solved
Solution:
(c) Given, 8x-3 = 25+17x
$\Rightarrow \quad 8 x-17 x=25+3 \quad$ [transposing $17 x$ to LHS and $-3$ to RHS]
$\Rightarrow \quad-9 x=28$
$\therefore$ $x=\frac{-28}{9}$ [dividing both sides by $-9$ ]
Hence, $x$ is a rational number.
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