Question

For the equations given below, which statement is true?

-3x - 8 = 19
-3x - 2 = 25

The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.

The equations do not have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.

The equations have the same solution because the second equation can be obtained by subtracting 19 from both sides of the first equation

The equations have the same solution because the second equation can be obtained by subtracting 6 from both sides of the first equation.

Answer 1

The answer is: The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.

The first equation is
`-3x-8=19`. Lest add 6 from both sides of the equation:

`-3x-8=19`

`-3x-8+6=19+6`

`-3x-2=25`

Since the second equation is
`-3x-2=25`, we can conclude that the equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.