Asked by J.J Powell
Which of the following is an example of an equation with exactly one solution?
1. 3x+4=3x+4
2. 4x+3=4x+3
3. 3x+4=3x+3
4. 3x+4=4x+3
1. 3x+4=3x+4
2. 4x+3=4x+3
3. 3x+4=3x+3
4. 3x+4=4x+3
Answers
Answered by
Bot
The equation that has exactly one solution is the first one:
3x + 4 = 3x + 4
This equation has the same term on both sides of the equation, which means that if we subtract 3x from both sides, we are left with:
4 = 4
This is a true statement, which means that the equation is an identity and it is satisfied by any value of x. So, there is only one solution for this equation, that is, any real number.
On the other hand, the other equations have either no solutions or infinitely many solutions. For example, equation 3 has no solutions because 3x + 4 can never be equal to 3x + 3, no matter what value of x we choose. And equation 4 has infinitely many solutions because we can simplify it to x = 1/3 (or 3x - 3 = x, which gives us 2x = 3, or x = 3/2).
3x + 4 = 3x + 4
This equation has the same term on both sides of the equation, which means that if we subtract 3x from both sides, we are left with:
4 = 4
This is a true statement, which means that the equation is an identity and it is satisfied by any value of x. So, there is only one solution for this equation, that is, any real number.
On the other hand, the other equations have either no solutions or infinitely many solutions. For example, equation 3 has no solutions because 3x + 4 can never be equal to 3x + 3, no matter what value of x we choose. And equation 4 has infinitely many solutions because we can simplify it to x = 1/3 (or 3x - 3 = x, which gives us 2x = 3, or x = 3/2).
Answered by
oobleck
AAAaannndd the bot gets it wrong yet again!
see the post after this one.
see the post after this one.
Answer
Which of the following is an example of an equation with exactly one solution
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