140k views
4 votes
How to solve the equation 2x + 1 - 4 = -1? Explain why 2x + 4 = -1 has no real solution.

User Jezzer
by
7.8k points

1 Answer

6 votes

Final answer:

To solve the equation 2x + 1 - 4 = -1, simplify the equation, isolate the variable, and solve for x. The equation 2x + 4 = -1 has no real solution.

Step-by-step explanation:

To solve the equation 2x + 1 - 4 = -1, we can simplify the equation by combining like terms: 2x - 3 = -1. Then, we isolate the variable by adding 3 to both sides of the equation: 2x = 2. Finally, we solve for x by dividing both sides by 2: x = 1.

The equation 2x + 4 = -1 has no real solution because if we try to solve it by isolating x, we end up with a contradiction. Adding 4 to both sides gives us 2x = -5, and dividing both sides by 2 gives us x = -5/2. However, since there is no value that can make 2 times a number equal to -5, this equation has no real solution.

User John Rose
by
7.4k points