Determine whether the given value is a solution of the equation. $$ \begin{array}{ll} ext { 1. } 11=n+6 ; n=5 & ext { 2. } y-6=24 ; y=18 \ ext { 3. } \frac{x}{9}=4 ; x=36 & ext { 4. } 15 t=100 ; t=6\end{array} $$

Question

Determine whether the given value is a solution of the equation. $$ \begin{array}{ll}	ext { 1. } 11=n+6 ; n=5 & 	ext { 2. } y-6=24 ; y=18 \ 	ext { 3. } \frac{x}{9}=4 ; x=36 & 	ext { 4. } 15 t=100 ; t=6\end{array} $$

UpStudy AI · Accepted Answer

1. For the equation $$11 = n + 6$$ with $$n = 5$$:  
   Substitute $$n = 5$$ into the equation:  
   $$
   n + 6 = 5 + 6 = 11
   $$  
   Since $$11 = 11$$, the value $$n = 5$$ is a solution.

2. For the equation $$y - 6 = 24$$ with $$y = 18$$:  
   Substitute $$y = 18$$ into the equation:  
   $$
   y - 6 = 18 - 6 = 12
   $$  
   Since $$12 \neq 24$$, the value $$y = 18$$ is not a solution.

3. For the equation $$\frac{x}{9} = 4$$ with $$x = 36$$:  
   Substitute $$x = 36$$ into the equation:  
   $$
   \frac{x}{9} = \frac{36}{9} = 4
   $$  
   Since $$4 = 4$$, the value $$x = 36$$ is a solution.

4. For the equation $$15t = 100$$ with $$t = 6$$:  
   Substitute $$t = 6$$ into the equation:  
   $$
   15t = 15 \times 6 = 90
   $$  
   Since $$90 \neq 100$$, the value $$t = 6$$ is not a solution.
1. $$n = 5$$ is a solution. 2. $$y = 18$$ is not a solution. 3. $$x = 36$$ is a solution. 4. $$t = 6$$ is not a solution.

Determine whether the given value is a solution of the equation.

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