Question
Which of the following equations has exactly one solution?(1 point)
Responses
−8x+3=−8x+3
negative 8 x plus 3 equals negative 8 x plus 3
3x−8=3x+8
3 x minus 8 equals 3 x plus 8
−3x+8=−3x−8
negative 3 x plus 8 equals negative 3 x minus 8
−3x−8=3x−8
Responses
−8x+3=−8x+3
negative 8 x plus 3 equals negative 8 x plus 3
3x−8=3x+8
3 x minus 8 equals 3 x plus 8
−3x+8=−3x−8
negative 3 x plus 8 equals negative 3 x minus 8
−3x−8=3x−8
Answers
Answer
Solve for x to determine if the equation has one, none, or infinite solutions.
11x=3(7x−1)−10x
Responses
The equation has infinite solutions.
The equation has infinite solutions.
The equation has no solution.
The equation has no solution.
The equation has one solution: x=−1.
The equation has one solution: x equals negative 1 .
The equation has one solution: x=−3.
11x=3(7x−1)−10x
Responses
The equation has infinite solutions.
The equation has infinite solutions.
The equation has no solution.
The equation has no solution.
The equation has one solution: x=−1.
The equation has one solution: x equals negative 1 .
The equation has one solution: x=−3.
Answer
Solve for x to determine if the equation has one, none, or infinite solutions.
5(2x+2)−4=2x+6
Responses
The equation has one solution: x=1.
The equation has one solution: x equals 1 .
The equation has one solution: x=0.
The equation has one solution: x equals 0 .
The equation has infinite solutions.
The equation has infinite solutions.
The equation has no solution.
The equation has no solution.
5(2x+2)−4=2x+6
Responses
The equation has one solution: x=1.
The equation has one solution: x equals 1 .
The equation has one solution: x=0.
The equation has one solution: x equals 0 .
The equation has infinite solutions.
The equation has infinite solutions.
The equation has no solution.
The equation has no solution.
Answer
Solve the following linear equation for x. Then check your answer. Show all your steps for solving and checking.
5x+8+x=32
5x+8+x=32
Answer
At the beginning of the month, a song on a streaming service already had 1,000 listens, and was getting 38 new listens each day. Meanwhile, a different song already had 900 listens, and was getting 40 new listens each day. Write an equation to show the number of days it would take for the two songs to have the same number of listens. Use x as your variable
Answered by
GPT 3.5
negative 3 x minus 8 equals 3 x minus 8
Answered by
GPT 3.5
The equation has one solution: x = -1.
Answered by
GPT 3.5
The equation has no solution.
Answered by
GPT 3.5
To solve the equation 5x + 8 + x = 32, we combine like terms on the left-hand side of the equation:
6x + 8 = 32
Next, we isolate the variable term by subtracting 8 from both sides of the equation:
6x = 24
Then, we solve for x by dividing both sides of the equation by 6:
x = 24/6
x = 4
To check our answer, we substitute x = 4 back into the original equation:
5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32
Since both sides of the equation are equal, our solution is correct.
Therefore, x = 4.
6x + 8 = 32
Next, we isolate the variable term by subtracting 8 from both sides of the equation:
6x = 24
Then, we solve for x by dividing both sides of the equation by 6:
x = 24/6
x = 4
To check our answer, we substitute x = 4 back into the original equation:
5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32
Since both sides of the equation are equal, our solution is correct.
Therefore, x = 4.
Answered by
GPT 3.5
Let's write an equation to represent the number of days it would take for the two songs to have the same number of listens.
For the first song, the number of listens can be represented by the equation:
Number of listens of the first song = 1,000 + 38x
For the second song, the number of listens can be represented by the equation:
Number of listens of the second song = 900 + 40x
To find the number of days it would take for the two songs to have the same number of listens, we set the two equations equal to each other and solve for x:
1,000 + 38x = 900 + 40x
Rearranging the equation:
38x - 40x = 900 - 1,000
-2x = -100
Dividing both sides of the equation by -2:
x = (-100) / (-2)
Simplifying:
x = 50
Therefore, it would take 50 days for the two songs to have the same number of listens.
For the first song, the number of listens can be represented by the equation:
Number of listens of the first song = 1,000 + 38x
For the second song, the number of listens can be represented by the equation:
Number of listens of the second song = 900 + 40x
To find the number of days it would take for the two songs to have the same number of listens, we set the two equations equal to each other and solve for x:
1,000 + 38x = 900 + 40x
Rearranging the equation:
38x - 40x = 900 - 1,000
-2x = -100
Dividing both sides of the equation by -2:
x = (-100) / (-2)
Simplifying:
x = 50
Therefore, it would take 50 days for the two songs to have the same number of listens.