Question

for each value of y, determine whether it is a solution to y ÷ 3 = 9.

y	is it a solution?
21	○	○
33	○	○
27	○	○
18	○	○

Explanation:

To determine if a value of \( y \) is a solution to \( y \div 3 = 9 \), we can solve for \( y \) first. Multiply both sides of the equation by 3:

Step 1: Solve the equation for \( y \)

Starting with \( y \div 3 = 9 \), multiply both sides by 3:
\( y = 9 \times 3 \)
\( y = 27 \)

Now we check each given \( y \)-value:

Step 2: Check \( y = 21 \)

Substitute \( y = 21 \) into \( y \div 3 \):
\( 21 \div 3 = 7 \), which is not equal to 9. So 21 is not a solution.

Step 3: Check \( y = 33 \)

Substitute \( y = 33 \) into \( y \div 3 \):
\( 33 \div 3 = 11 \), which is not equal to 9. So 33 is not a solution.

Step 4: Check \( y = 27 \)

Substitute \( y = 27 \) into \( y \div 3 \):
\( 27 \div 3 = 9 \), which equals 9. So 27 is a solution.

Step 5: Check \( y = 18 \)

Substitute \( y = 18 \) into \( y \div 3 \):
\( 18 \div 3 = 6 \), which is not equal to 9. So 18 is not a solution.

Answer:

For \( y = 21 \): No
For \( y = 33 \): No
For \( y = 27 \): Yes
For \( y = 18 \): No

(In table form, mark "Yes" for \( y = 27 \) and "No" for \( y = 21, 33, 18 \) in their respective columns.)