19. Show that 1.27 is not a solution for the equation \( g+3.74=5.1 \). Then the correct solution and show why it is correct.

**Step 1. Test the proposed solution** Substitute \( g = 1.27 \) into the equation: \[ 1.27 + 3.74 = 5.01 \] Since \( 5.01 \neq 5.1 \), \( 1.27 \) is not a solution. --- **Step 2. Solve the equation correctly** Starting with the equation: \[ g + 3.74 = 5.1 \] Subtract \( 3.74 \) from both sides to isolate \( g \): \[ g = 5.1 - 3.74 \] Calculate the difference: \[ g = 1.36 \] Thus, the correct solution is \( g = 1.36 \). --- **Step 3. Verify the correct solution** Substitute \( g = 1.36 \) back into the original equation: \[ 1.36 + 3.74 = 5.1 \] Since the left-hand side equals the right-hand side, the solution \( g = 1.36 \) is verified as correct.