Question

Which of the following is/are two step equations?

• A. $x+3=6$
• B. $5x-10=0$
• C. $x=8$
• D. $\frac{x}{2}-4=3$

Answer 1

Answer: (B), (D)

$\frac{x}{2}-4=3$

$\left(A\right)x+3=6$
Subtract both the sides by 3
$\Rightarrow x+3-3=6-3\Rightarrow x=3$
$\therefore$ It took only one step to solve the equation. So, it is an one step equation.

$\left(B\right)5x-10=0$
Add both the sides by 10
$5x-10+10=0+105x=10$
Divide both the sides by 5
$\frac{5x}{5}=\frac{10}{5}$
$x=2$
$\therefore$ It took two steps to solve the equation. So, it is a two step equation.

$\left(C\right)x=8$
This equation is already solved for x.

$\left(D\right)\frac{x}{2}-4=3$
Add both the sides by 4
$\frac{x}{2}-4+4=3+4\frac{x}{2}=7$
Multiply both the sides by 2
$\frac{x}{2}\times 2=7\times 2$
$x=14$
$\therefore$ It took two steps to solve the equation. So, it is a two step equation.