Question

Solve the equation. Round the result to the nearest hundredth. Check the rounded solution. $$ 18-3 y=5 $$

Short answer

The solution to the equation 18 - 3y = 5, when rounded to the nearest hundredth, is \( y = 4.33 \). The minor discrepancy in the restated equation (5.01 instead of 5) is due to the rounding off of the solution.

Step-by-step solution

Simplify the equation

First, subtract 18 from both sides of the equation to isolate the term -3y on one side. This gives the new equation: \n-3y = 5 - 18 = -13.

Solve for y

Then, divide both sides by -3 to solve for \( y \). This results in: \n\( y = -13 / -3 = 4.33333 \) in its decimal form.

Round off the result

The question asks for the result to be rounded to the nearest hundredth. So, \( y = 4.33 \) after rounding.

Check the solution

Finally, check the solution by substituting \( y = 4.33 \) back into the original equation: \n\( 18 - 3(4.33) = 18 - 12.99 = 5.01 \), when rounded to the nearest hundredth. The minor difference in decimal places is due to the rounding off of \( y \).