Answer :
- Substitute 6 for $x$ in the equation $3x = 18$.
- Check if the equation $3
\times 6 = 18$ is true.
- Since $3
\times 6 = 18$, the equation is true.
- Therefore, 6 is a solution to the equation $3x = 18$.
### Explanation
1. Understanding the problem
To determine if 6 is a solution to the equation $3x = 18$, we need to substitute 6 for $x$ in the equation and check if the equation holds true.
2. Substitution
The first step is to substitute 6 for $x$ in the equation $3x = 18$. This gives us $3 \times 6 = 18$.
3. Verification
Now, we need to check if the equation $3 \times 6 = 18$ is true. Since $3 \times 6 = 18$, the equation is true. Therefore, 6 is a solution to the equation $3x = 18$.
4. Conclusion
The first step in determining if 6 is a solution to $3x = 18$ is to substitute 6 for $x$ in the equation.
### Examples
In real life, this type of problem can be used to determine if a certain quantity satisfies a given condition. For example, if you have a recipe that requires 3 times the amount of flour as sugar, and you want to know if 6 cups of sugar is the correct amount if you have 18 cups of flour, you would substitute 6 for the amount of sugar and see if the equation holds true. This helps in verifying if the ingredients are in the correct proportion.
- Check if the equation $3
\times 6 = 18$ is true.
- Since $3
\times 6 = 18$, the equation is true.
- Therefore, 6 is a solution to the equation $3x = 18$.
### Explanation
1. Understanding the problem
To determine if 6 is a solution to the equation $3x = 18$, we need to substitute 6 for $x$ in the equation and check if the equation holds true.
2. Substitution
The first step is to substitute 6 for $x$ in the equation $3x = 18$. This gives us $3 \times 6 = 18$.
3. Verification
Now, we need to check if the equation $3 \times 6 = 18$ is true. Since $3 \times 6 = 18$, the equation is true. Therefore, 6 is a solution to the equation $3x = 18$.
4. Conclusion
The first step in determining if 6 is a solution to $3x = 18$ is to substitute 6 for $x$ in the equation.
### Examples
In real life, this type of problem can be used to determine if a certain quantity satisfies a given condition. For example, if you have a recipe that requires 3 times the amount of flour as sugar, and you want to know if 6 cups of sugar is the correct amount if you have 18 cups of flour, you would substitute 6 for the amount of sugar and see if the equation holds true. This helps in verifying if the ingredients are in the correct proportion.
