Question

for each value of y, determine whether it is a solution to 3y = 18. then there is a table with y values 9, 6, 8, 3 and columns is it a solution? with yes and no options.

Explanation:

Step1: Solve the equation \(3y = 18\)

To find the solution of the equation \(3y=18\), we divide both sides of the equation by 3. So, \(y=\frac{18}{3}=6\). This means the only solution to the equation \(3y = 18\) is \(y = 6\).

Step2: Check each value of \(y\)

• For \(y = 9\): Substitute \(y = 9\) into the left - hand side of the equation \(3y\). We get \(3\times9 = 27\), and \(27

eq18\), so \(y = 9\) is not a solution.

• For \(y = 6\): Substitute \(y = 6\) into the left - hand side of the equation \(3y\). We get \(3\times6=18\), and \(18 = 18\), so \(y = 6\) is a solution.
• For \(y = 8\): Substitute \(y = 8\) into the left - hand side of the equation \(3y\). We get \(3\times8 = 24\), and \(24

eq18\), so \(y = 8\) is not a solution.

• For \(y = 3\): Substitute \(y = 3\) into the left - hand side of the equation \(3y\). We get \(3\times3=9\), and \(9

eq18\), so \(y = 3\) is not a solution.

Answer:

• For \(y = 9\): No
• For \(y = 6\): Yes
• For \(y = 8\): No
• For \(y = 3\): No