Question
Solve the equations and check your result: $x = \frac{4}{5}(x + 10)$
✓
Answer
$x = \frac{4}{5}(x + 10)$
$5x = 4(x + 10) ... $[Multiplying both sides by $5]$
$\therefore 5x = 4x + 10$
$\therefore 5x – 4x = 40 ... $[Transposing $4x$ to $L.H.S.]$
$\therefore x = 40$ this is the required solution.
Verification
$L.H.S. = 40$
$R.H.S. = \frac{4}{5}(x + 10)$
$\frac{4}{5} = (40 + 10) = \frac{4}{5}(50) = 4(10) = 40$
Therefore, $L.H.S. = R.H.S.$
$5x = 4(x + 10) ... $[Multiplying both sides by $5]$
$\therefore 5x = 4x + 10$
$\therefore 5x – 4x = 40 ... $[Transposing $4x$ to $L.H.S.]$
$\therefore x = 40$ this is the required solution.
Verification
$L.H.S. = 40$
$R.H.S. = \frac{4}{5}(x + 10)$
$\frac{4}{5} = (40 + 10) = \frac{4}{5}(50) = 4(10) = 40$
Therefore, $L.H.S. = R.H.S.$
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