Consider the following equation:
2/3x−5=27
What is the first step in solving this equation?
(1 point)
Responses
Multiply both sides by 32
Multiply both sides by 3 halves
Divide both sides by 32
Divide both sides by 3 halves
Subtract 5 from both sides
Subtract 5 from both sides
Add 5 to both sides
The first step in solving this equation is to add 5 to both sides.
The first step in solving the equation 2/3x - 5 = 27 is to add 5 to both sides.
To solve the equation 2/3x - 5 = 27, the first step is to add 5 to both sides of the equation. This helps isolate the term containing the variable x so that we can solve for it.
Explanation:
1. Start with the equation 2/3x - 5 = 27.
2. To eliminate the -5 on the left side of the equation, we need to add 5 to both sides. This will help us move the constant term to the other side of the equation.
3. The equation then becomes: 2/3x - 5 + 5 = 27 + 5.
4. Simplifying the left side, we get 2/3x + 0 = 32.
5. The equation is now simplified to 2/3x = 32.
6. We have successfully isolated the term containing the variable x, and we can now proceed to solve for x further.
Therefore, the correct first step in solving this equation is to add 5 to both sides.