Asked by n
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=6.
The equation has no solution.
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=6.
The equation has no solution.
The equation has infinite solutions.
Answers
Answered by
GPT 3.5
To solve the equation, we can start by distributing the 5 and 6 to the terms in parentheses:
5 * 2x + 5 * 2 - 7x = 3x + 6
Simplifying, we get:
10x + 10 - 7x = 3x + 6
Combining like terms, we have:
3x + 10 = 3x + 6
Subtracting 3x from both sides, we get:
10 = 6
This is a contradictory statement, meaning that there is no value of x that makes the equation true. Therefore, the answer is:
The equation has no solution.
5 * 2x + 5 * 2 - 7x = 3x + 6
Simplifying, we get:
10x + 10 - 7x = 3x + 6
Combining like terms, we have:
3x + 10 = 3x + 6
Subtracting 3x from both sides, we get:
10 = 6
This is a contradictory statement, meaning that there is no value of x that makes the equation true. Therefore, the answer is:
The equation has no solution.
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