Consider the following equation:
2/3x−5=27
What is the first step in solving this equation?
(1 point)
Multiply both sides by 32Multiply both sides by 3 halves
Divide both sides by 32 Divide both sides by 3 halves
Subtract 5 from both sides
Add 5 to both sides
8 months ago
8 months ago
The first step in solving the equation 2/3x - 5 = 27 is to add 5 to both sides.
8 months ago
To solve the equation 2/3x - 5 = 27, the first step is to add 5 to both sides of the equation. This step allows us to isolate the variable term on one side of the equation.
Explanation:
1. Start with the equation: 2/3x - 5 = 27.
2. The goal is to isolate the variable term, which is 2/3x, on one side of the equation.
3. To move the constant term (-5) to the other side of the equation, we need to add 5 to both sides.
- By adding 5 to the left side, we get: 2/3x - 5 + 5 = 27 + 5.
- Simplifying the left side gives us: 2/3x = 32.
- Simplifying the right side gives us: 27 + 5 = 32.
4. Now, the variable term 2/3x is isolated on the left side, with the constant term 32 on the right side.
5. From this point, you can proceed further to solve for x by performing additional steps.