One method for solving 3(x−4)=18 is to first divide by 3, then add 4. Which method below would also result in the correct answer?
To solve the equation 3(x − 4) = 18 using the method mentioned above (dividing by 3, then adding 4), you would follow these steps:
1. Start with the equation 3(x − 4) = 18.
2. Divide both sides of the equation by 3: $\frac{3(x - 4)}{3} = \frac{18}{3}$.
3. Simplify to get x − 4 = 6.
4. Add 4 to both sides of the equation to isolate x: (x − 4) + 4 = 6 + 4.
5. Simplify to get x = 10.
Given this solution method, the method below would also result in the correct answer for the equation:
Divide by 3, then subtract 4.
Here's how you would solve the equation using this method:
1. Start with the equation 3(x − 4) = 18.
2. Divide both sides of the equation by 3: $\frac{3(x - 4)}{3} = \frac{18}{3}$.
3. Simplify to get x − 4 = 6.
4. Add 4 to both sides of the equation to isolate x: (x − 4) + 4 = 6 + 4.
5. Simplify to get x = 10.
By dividing by 3 and then subtracting 4, you arrive at the same solution as the original method, which is x = 10.