Question
In integers, $4x - 1 = 8$ has ________ solution.
✓
Answer
Solve the equation for $x,$
$4x - 1 = 8$
$\Rightarrow 4x = 8 + 1 [$transposing $(-1)$ to $RHS]$
$\Rightarrow 4x = 9$
$\Rightarrow\frac{4\text{x}}{4}=\frac{9}{4} [$dividing both sides by $4]$
$\Rightarrow\text{x}=\frac{9}{4}$
Since, the solution of the equation is an integer,
hence the equation has no solution.
$4x - 1 = 8$
$\Rightarrow 4x = 8 + 1 [$transposing $(-1)$ to $RHS]$
$\Rightarrow 4x = 9$
$\Rightarrow\frac{4\text{x}}{4}=\frac{9}{4} [$dividing both sides by $4]$
$\Rightarrow\text{x}=\frac{9}{4}$
Since, the solution of the equation is an integer,
hence the equation has no solution.
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