When the smaller of two consecutive integers is added to two times the larger, the result is 17. Find the results.
1 answer:
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Answer: C. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
Step-by-step explanation:
You know that the first equation is:
And the second equation is:
According to the Addition property of equality:
If ; then
Then, you can add 6 to both sides of the first equation to keep it balanced. Then, you get:
Therefore, you can observe that the second equation can be obtained by adding 6 to both sides of the first equation, therefore, the equations have the same solution.
If you want to verify this, you can solve for "x" from both equations:
- First equation:
- Second equation: