Solve the given linear equation, then check your answer
$0.5t+1.5t=7+3-4$

• A. $t=1$
• B. $t=-6$
• C. $t=3$
• D. $t=-3$

Answer: (C)

Verified step by step guidance

1. Start with the given equation: \$0.5t + 1.5t = 7 + 3 - 4$.
2. Combine like terms on the left side by adding the coefficients of \(t\): \$0.5t + 1.5t = (0.5 + 1.5)t = 2t$.
3. Simplify the right side by performing the arithmetic operations: \$7 + 3 - 4$.
4. Rewrite the equation with the simplified expressions: \(2t = \text{(result from step 3)}\).
5. Solve for \(t\) by dividing both sides of the equation by 2: \(t = \frac{\text{(result from step 3)}}{2}\).