Question

solve and verify:0.5x+x/5=0.25x+7​

Answer 1

Step-by-step explanation:

$0.5x + \frac{x}{5} = 0.25x + 7 \\ \\ \frac{0.5x \times 5 + x}{5} = 0.25x + 7 \\ \\ \frac{2.5x + x}{5} = 0.25x + 7 \\ \\ 3.5x = 5(0.25x + 7) \\ \\ 3.5x = 1.25x + 35 \\ \\ 3.5x - 1.25x = 35 \\ \\ 2.25x = 35 \\ \\ x = \frac{35}{2.25} \\ \\ \bf x = 15.5$

To verify, let us put value of x in the equation:

$0.5(15.5) + \frac{15.5}{5} = 0.25(15.5) + 7 \\ \\ 7.75 + 3.1 = 3.875 + 7 \\ \\ \bf 10.85 = 10.875 \: (which \: is \: approx) \:$