Which of the following equations has an infinite number of solutions? (1 point)

3x – 3 = –4x
2y + 4 – y = 16
7x + 5 = 4x + 5 + 3x
6y – 2 = 2(y – 1)

i need help plz

7 x + 5 = 4 x + 5 + 3 x

________________________________________

7 x + 5 = 4 x + 5 + 3 x

7 x + 5 = 7 x + 5

That ic correct for all value of x

( infinite number of solutions )

________________________________________

To determine which of the equations has an infinite number of solutions, we need to examine each equation and look for any inconsistencies or values that cancel out. Let's go through each option step by step:

1. Equation: 3x - 3 = -4x
- To solve this equation, we can simplify it by adding 4x to both sides:
3x + 4x - 3 = 0
7x - 3 = 0
- By adding 3 to both sides, we get:
7x = 3
x = 3/7
- This equation has a defined solution, so it does not have an infinite number of solutions.

2. Equation: 2y + 4 - y = 16
- Simplifying the equation, we have:
y + 4 = 16
- By subtracting 4 from both sides, we get:
y = 12
- Similar to the previous equation, this equation has a specific solution rather than an infinite number of solutions.

3. Equation: 7x + 5 = 4x + 5 + 3x
- Simplifying the equation, we have:
7x + 5 = 7x + 5
- By subtracting 7x and 5 from both sides, we get:
0 = 0
- This equation simplifies to 0 = 0, which is always true.
- Therefore, this equation has an infinite number of solutions.

4. Equation: 6y - 2 = 2(y - 1)
- Distributing the 2 inside the brackets, we have:
6y - 2 = 2y - 2
- By subtracting 2y and adding 2 to both sides, we get:
4y = 0
- Dividing both sides by 4, we have:
y = 0
- Similar to the first two equations, this equation has a specific solution.

In conclusion, the equation that has an infinite number of solutions is the third equation:
7x + 5 = 4x + 5 + 3x.