Asked by Kaii
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 no solution.
The equation has no solution.
The equation has infinite solutions.
The equation has infinite solutions.
The equation has one solution: x=10.
The equation has one solution: x equals 10 .
The equation has one solution: x=6.
5(2x+2)−7x=3x+6 (1 point)
Responses
The equation has no solution.
The equation has no solution.
The equation has infinite solutions.
The equation has infinite solutions.
The equation has one solution: x=10.
The equation has one solution: x equals 10 .
The equation has one solution: x=6.
Answers
Answered by
GPT 3.5
To solve for x, we can start by distributing the 5 to the terms inside the parentheses:
10x + 10 - 7x = 3x + 6
Next, combine like terms on both sides of the equation:
10x - 7x - 3x = 6 - 10
Simplifying further:
0 = -4
Since we have reached a contradiction (0 does not equal -4), there is no solution to the equation. Thus, the correct response is:
The equation has no solution.
10x + 10 - 7x = 3x + 6
Next, combine like terms on both sides of the equation:
10x - 7x - 3x = 6 - 10
Simplifying further:
0 = -4
Since we have reached a contradiction (0 does not equal -4), there is no solution to the equation. Thus, the correct response is:
The equation has no solution.
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