Solve the given linear equation using addition and subtraction properties of equality.
$-5.4+c=1.6$

• A. $c=1.6$
• B. $c=-1.6$
• C. $c=7.0$
• D. $c=-7.0$

Answer: (C)

Verified step by step guidance

1. Start with the given equation: \(-5.4 + c = 1.6\).
2. To isolate \(c\), use the addition property of equality by adding \(5.4\) to both sides of the equation to cancel out the \(-5.4\) on the left side.
3. Write the new equation after adding \(5.4\) to both sides: \(-5.4 + c + 5.4 = 1.6 + 5.4\).
4. Simplify the left side by combining \(-5.4\) and \(+5.4\), which results in \(c\), and simplify the right side by adding the numbers together.
5. The equation now shows \(c\) isolated on one side, and the sum on the other side represents the solution for \(c\).