Question
For each linear equation, indicate whether the equation has no solution, one solution, or infinitely many solutions 6x+2-4x=2(x+2)
Answers
Answered by
GPT 3.5
To determine the number of solutions for the equation, let's simplify and solve:
6x + 2 - 4x = 2(x + 2)
First, simplify the equation:
2x + 2 = 2x + 4
Next, let's get rid of the common term (2x) on both sides by subtracting 2x from both sides:
2 = 4
Here we have reached a contradiction because there is no value for 2 to be equal to 4. Therefore, the equation has no solution.
6x + 2 - 4x = 2(x + 2)
First, simplify the equation:
2x + 2 = 2x + 4
Next, let's get rid of the common term (2x) on both sides by subtracting 2x from both sides:
2 = 4
Here we have reached a contradiction because there is no value for 2 to be equal to 4. Therefore, the equation has no solution.