Question

For the equations given above, which statement is true?

Answer 1

Consider the first equation : -3x-8=19.

Adding 8 to both sides, we get -3x=27. Dividing by -3 yields the solution x=-9.


Consider the first equation : -3x-2=25.

Adding 2 to both sides, we get -3x=27. Dividing by -3 yields the solution x=-9, again.


Thus, the 2 equations have the same solution.


We could have achieved this result also by noticing that the second equation is equivalent to first one, adding 6 to both sides.


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