Solve for x: (1/2)x + 3 = 7.5.

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Multiple Choice

Solve for x: (1/2)x + 3 = 7.5.

Explanation:
Solving a linear equation means isolating the variable to find its value. For (1/2)x + 3 = 7.5, undo the addition first by subtracting 3 from both sides, giving (1/2)x = 4.5. Then remove the fraction by multiplying both sides by 2, yielding x = 9. Check by plugging back: (1/2)·9 + 3 = 4.5 + 3 = 7.5, which matches. So the value that satisfies the equation is x = 9. If an option repeats the equation instead of giving the numeric value, it doesn’t show the actual solution, while x = 9 correctly represents the value of x that makes the equation true.

Solving a linear equation means isolating the variable to find its value. For (1/2)x + 3 = 7.5, undo the addition first by subtracting 3 from both sides, giving (1/2)x = 4.5. Then remove the fraction by multiplying both sides by 2, yielding x = 9. Check by plugging back: (1/2)·9 + 3 = 4.5 + 3 = 7.5, which matches. So the value that satisfies the equation is x = 9. If an option repeats the equation instead of giving the numeric value, it doesn’t show the actual solution, while x = 9 correctly represents the value of x that makes the equation true.

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