Does these two equations $x\ +\ 1\ =\ 0$ and $2x\ +\ 2\ =\ 0$ have the same solution?

Given: $x\ +\ 1\ =\ 0$ and $2x\ +\ 2\ =\ 0$

To check: Here we have to check if these two equations $x\ +\ 1\ =\ 0$ and $2x\ +\ 2\ =\ 0$ have the same solution.

Solution:

$x\ +\ 1\ =\ 0$ and $2x\ +\ 2\ =\ 0$

Solving equation $x\ +\ 1\ =\ 0$:

$x\ +\ 1\ =\ 0$

$\mathbf{x\ =\ -1}$

Solution of this equation is x = $-$1.

Now,

Solving equation $2x\ +\ 2\ =\ 0$:

$2x\ +\ 2\ =\ 0$

$2x\ =\ -2$

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

$\mathbf{x\ =\ -1}$

Solution of this equation is x = $-$1.

Therefore, the two-equation has the same solution $-$1.

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Updated on: 10-Oct-2022

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