Question

for each value of y, determine whether it is a solution to \\(\frac{y}{5} + 8 = 14\\).

y	is it a solution?
0	yes (○)	no (○)
-5	yes (○)	no (○)
35	yes (○)	no (○)

Explanation:

Step1: Solve the equation for y

To find the solution of the equation \(\frac{y}{5}+8 = 14\), first subtract 8 from both sides:
\(\frac{y}{5}+8 - 8=14 - 8\)
\(\frac{y}{5}=6\)
Then multiply both sides by 5:
\(y = 6\times5=30\)

Step2: Check each value

• For \(y = 30\): Substitute into \(\frac{y}{5}+8\), we get \(\frac{30}{5}+8=6 + 8=14\), which equals the right - hand side. So it is a solution.
• For \(y = 0\): Substitute into \(\frac{y}{5}+8\), we get \(\frac{0}{5}+8=0 + 8 = 8

eq14\). So it is not a solution.

• For \(y=-5\): Substitute into \(\frac{y}{5}+8\), we get \(\frac{-5}{5}+8=- 1+8 = 7

eq14\). So it is not a solution.

• For \(y = 35\): Substitute into \(\frac{y}{5}+8\), we get \(\frac{35}{5}+8=7 + 8=15

eq14\). So it is not a solution.

Answer:

• For \(y = 30\): Yes
• For \(y = 0\): No
• For \(y=-5\): No
• For \(y = 35\): No