3. Solve for X: 2X + 90 = 270. (Enter the numerical value only, rounded to the nearest whole number.)
Answer: A
X equals 90
To solve for X in the equation 2X + 90 = 270, we first subtract 90 from both sides, resulting in 2X = 180. Dividing both sides by 2 gives us X = 90.
A) 90
This option is correct as it is the exact solution derived from the equation. After simplifying the equation, we find that X equals 90, confirming that this choice is accurate.
B) 80
This option is incorrect. If X were 80, substituting it back into the equation would yield 2(80) + 90 = 250, which does not satisfy the original equation of 2X + 90 = 270.
C) 75
This option is also incorrect. Substituting 75 into the equation gives 2(75) + 90 = 240, which is not equal to 270, indicating that this is not the correct value for X.
D) 100
This option is incorrect as well. If X were 100, the equation would result in 2(100) + 90 = 290, which exceeds the target of 270, thereby confirming that this cannot be the solution.
Conclusion
The correct answer is definitively 90, as it satisfies the equation when substituted back in. All other options fail to meet the requirements set by the original equation, confirming that they are not viable solutions.