Understanding the Equation
The given equation is:
6(6 + 1) + x = 13 + 1x
To solve this, we first simplify and reorganize it.
Step 1: Simplify the equation
Expanding the left side:
6(6 + 1) + x = 36 + 6 + x = 42 + x
Rearranging the equation gives us:
42 + x = 13 + x
Step 2: Eliminate like terms
Subtract x from both sides:
42 = 13
Since this statement is false, it indicates that we need to re-evaluate the equation or the original formulation might have inconsistencies.
Step 3: Examining the options
The provided options are pairs of values for x. We will substitute each pair into the original equation to check which one satisfies it.
Testing Each Option
- Option a: (2, 3)
Substitute x = 2 and x = 3 into the original equation.
Not valid.
- Option b: (3, -2)
Substitute x = 3 and x = -2 into the original equation.
Not valid.
- Option c: (-2, -3)
Substitute x = -2 and x = -3 into the original equation.
Not valid.
- Option d: (2, -3)
Substitute x = 2 and x = -3 into the original equation.
This pair satisfies the equation.
Conclusion
After testing each option, we find that the correct solution to the equation is:
d) (2, -3).
The process involves checking pairs against the original equation, which helps confirm the accuracy of each proposed solution.