Question

Question 42.

Answer True/False.

The equations $x+1=0$ and $2x+2=0$ have the same solution.

Answer 1

$\begin{array}{cc}\text{Equation}& \text{Solution}\\ x+1=0& x+1=0\\ & \text{Subtracting 1 from both sides,}\\ & x+1-1=0-1\\ & \Rightarrow x=-1\\ 2x+2=0& 2x+2=0\\ & \text{Subtracting 2 from both sides, we get}\\ & 2x+2-2=0-2\\ & 2x=-2\\ & \text{Dividing both sides of the equation by 2, we get}\\ & \frac{2x}{2}=-\frac{2}{2}\\ & \Rightarrow x=-1\end{array}$

$\therefore$Both the equations $x+1=0$ and $2x+2=0$ have the same solution which is $-1$.