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

• A. $2$
• B. $0$
• C. $\frac{20}{3}$
• D. $-\frac{20}{3}$

Answer: (B)

Verified step by step guidance

1. Start with the given equation: \$2x + 3y = 10$.
2. Substitute the known value of \(x = 5\) into the equation, so it becomes \$2(5) + 3y = 10$.
3. Simplify the multiplication: \$10 + 3y = 10$.
4. Isolate the term with \(y\) by subtracting 10 from both sides: \$3y = 10 - 10$.
5. Solve for \(y\) by dividing both sides by 3: \(y = \frac{0}{3}\).