1) Is \( c=-2.9 \) a solution to this equat \( 7.08-0.9 c=19.55 \)

To determine whether \( c = -2.9 \) is a solution to the equation: \[ 7.08 - 0.9c = 19.55 \] **Step 1: Substitute \( c = -2.9 \) into the equation** \[ 7.08 - 0.9(-2.9) \] **Step 2: Calculate the expression** \[ 7.08 + (0.9 \times 2.9) = 7.08 + 2.61 = 9.69 \] **Step 3: Compare with the right-hand side of the equation** \[ 9.69 \neq 19.55 \] **Conclusion:** Since substituting \( c = -2.9 \) into the equation results in \( 9.69 \), which does not equal \( 19.55 \), **\( c = -2.9 \) is **_not_** a solution to the equation**. --- **Additional Insight: Solving for \( c \)** If you're looking to find the correct value of \( c \) that satisfies the equation, here's how you can solve it: \[ 7.08 - 0.9c = 19.55 \] 1. Subtract 7.08 from both sides: \[ -0.9c = 19.55 - 7.08 \\ -0.9c = 12.47 \] 2. Divide both sides by -0.9: \[ c = \frac{12.47}{-0.9} \\ c \approx -13.8556 \] So, the correct solution is approximately \( c \approx -13.86 \).