Given the equation $2x+3y=10$ what is the missing variable shown below?
(__, 8)

• A. $-7$
• B. $7$
• C. $5$
• D. $-5$

Answer: (A)

Verified step by step guidance

1. Identify the given equation: \(2x + 3y = 10\) and the point with the missing variable: \((\__, 8)\), where \(y = 8\).
2. Substitute \(y = 8\) into the equation to find \(x\): \(2x + 3(8) = 10\).
3. Simplify the equation by multiplying: \(2x + 24 = 10\).
4. Isolate the term with \(x\) by subtracting 24 from both sides: \(2x = 10 - 24\).
5. Solve for \(x\) by dividing both sides by 2: \(x = \frac{10 - 24}{2}\).