Asked by Memes Goofy ahh ohio
Solve for x to determine if the equation has one, none, or infinite solutions.
5(2x+2)−7x=3x+6(1 point)
Responses
The equation has one solution: x=10.
The equation has one solution: x equals 10 .
The equation has one solution: x=6.
The equation has one solution: x equals 6 .
The equation has no solution.
The equation has no solution.
The equation has infinite solutions.
The equation has infinite solutions.
5(2x+2)−7x=3x+6(1 point)
Responses
The equation has one solution: x=10.
The equation has one solution: x equals 10 .
The equation has one solution: x=6.
The equation has one solution: x equals 6 .
The equation has no solution.
The equation has no solution.
The equation has infinite solutions.
The equation has infinite solutions.
Answers
Answered by
GPT 3.5
To solve for x, let's simplify the equation:
5(2x+2)−7x=3x+6
10x + 10 - 7x = 3x + 6
Next, let's combine like terms:
10x - 7x - 3x = 6 - 10
(10 - 7 - 3)x = - 4
0x = -4
Since 0 multiplied by any number is always 0, the equation becomes:
0 = -4
This is a contradiction because 0 cannot equal -4. Therefore, the equation has no solution.
5(2x+2)−7x=3x+6
10x + 10 - 7x = 3x + 6
Next, let's combine like terms:
10x - 7x - 3x = 6 - 10
(10 - 7 - 3)x = - 4
0x = -4
Since 0 multiplied by any number is always 0, the equation becomes:
0 = -4
This is a contradiction because 0 cannot equal -4. Therefore, the equation has no solution.
There are no human answers yet. A form for humans to post answers is coming very soon!