Question

Solve the equation by trial and error method:2x/3- 7=(-5)

Answer 1

x= 3

Trial and error method

Equation=

Let x= 1

$\frac{2 \times 1}{3} - 7 = - 5 \\ \frac{2}{3} - 7 = - 5 \\ \frac{2 - 21}{3} = - 5 \\ \frac{ - 19}{3} = - 5 \\ 6.333... is \: not \: equal \: to \: - 5$

Let x= 2

$\frac{2 \times 2}{3} - 7 = - 5 \\ \frac{4}{3} - 7 = - 5 \\ \frac{4 - 21}{3} = - 5 \\ \frac{17}{3} = - 5 \\ 5.666... is \: not \: equal \: to - 5$

Let x= 3

$\frac{2 \times 3}{3} - 7 = - 5 \\ \frac{6}{3} - 7 = - 5 \\ \frac{6 - 21}{3} = - 5 \\ \frac{ - 15}{3} = - 5 \\ - 5 = - 5 \\ L.H.S= R.H.S$

So,x= 3