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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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