If \( \quad 5 x+5=92 \) Delemine whether 17 is a solution of the equation

To determine whether \( x = 17 \) is a solution to the equation \( 5x + 5 = 92 \), we'll substitute \( x \) with 17 and check if the equation holds true. **Step 1: Substitute \( x = 17 \) into the equation** \[ 5(17) + 5 = 85 + 5 = 90 \] **Step 2: Compare the result with the right-hand side of the equation** \[ 90 \neq 92 \] Since \( 90 \) does not equal \( 92 \), \( x = 17 \) is **not** a solution to the equation. **Additional Verification: Solve for \( x \) to find the exact solution** \[ 5x + 5 = 92 \] Subtract 5 from both sides: \[ 5x = 92 - 5 \] \[ 5x = 87 \] Divide both sides by 5: \[ x = \frac{87}{5} = 17.4 \] So, the correct solution is \( x = 17.4 \), not 17. **Conclusion:** \( x = 17 \) is **not** a solution to the equation \( 5x + 5 = 92 \).