Which of the following is an example of an equation with no solution?(1 point)
Responses
4x+3=3x+3
4 x plus 3 equals 3 x plus 3
3x+4=4x+3
3 x plus 4 equals 4 x plus 3
3x+4=3x+3
3 x plus 4 equals 3 x plus 3
3x+4=3x+4
9 answers
3x+4=3x+4 is an example of an equation with infinitely many solutions, not no solution.
Which of the following is an example of an equation with exactly one solution?(1 point)
Responses
3x+4=3x+4
3 x plus 4 equals 3 x plus 4
4x+3=4x+3
4 x plus 3 equals 4 x plus 3
3x+4=3x+3
3 x plus 4 equals 3 x plus 3
3x+4=4x+3
Responses
3x+4=3x+4
3 x plus 4 equals 3 x plus 4
4x+3=4x+3
4 x plus 3 equals 4 x plus 3
3x+4=3x+3
3 x plus 4 equals 3 x plus 3
3x+4=4x+3
3x+4=4x+3 is an example of an equation with exactly one solution.
Solve for x to determine if the equation has one, none, or infinite solutions.
3(x+2)−6=3x(1 point)
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=−3.
The equation has one solution: x equals negative 3 .
The equation has one solution: x=3.
3(x+2)−6=3x(1 point)
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=−3.
The equation has one solution: x equals negative 3 .
The equation has one solution: x=3.
To solve the equation 3(x+2)-6=3x, we can simplify the equation:
3x + 6 - 6 = 3x
3x = 3x
The variables cancel out, leaving us with an identity: 3x = 3x. This means that the equation has infinitely many solutions. Therefore, the correct response is "The equation has infinite solutions."
3x + 6 - 6 = 3x
3x = 3x
The variables cancel out, leaving us with an identity: 3x = 3x. This means that the equation has infinitely many solutions. Therefore, the correct response is "The equation has infinite solutions."
Solve for x to determine if the equation has one, none, or infinite solutions.
4x=3(x+5)−15(1 point)
Responses
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.
The equation has one solution: x=−10.
4x=3(x+5)−15(1 point)
Responses
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.
The equation has one solution: x=−10.
To solve the equation 4x = 3(x+5) - 15, we can simplify the equation:
4x = 3x + 15 - 15
4x = 3x
The variables cancel out, leaving us with an identity: 4x = 4x. This means that the equation has infinitely many solutions. Therefore, the correct response is "The equation has infinite solutions."
4x = 3x + 15 - 15
4x = 3x
The variables cancel out, leaving us with an identity: 4x = 4x. This means that the equation has infinitely many solutions. Therefore, the correct response is "The equation has infinite solutions."
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=6.
The equation has one solution: x equals 6 .
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=10.
5(2x+2)−7x=3x+6(1 point)
Responses
The equation has one solution: x=6.
The equation has one solution: x equals 6 .
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=10.
To solve the equation 5(2x+2) - 7x = 3x + 6, we can simplify the equation:
10x + 10 - 7x = 3x + 6
3x + 10 = 3x + 6
3x - 3x = 6 - 10
0 = -4
The equation simplifies to 0 = -4, which is not true. This means that there is no solution for x that satisfies the equation. Therefore, the correct response is "The equation has no solution."
10x + 10 - 7x = 3x + 6
3x + 10 = 3x + 6
3x - 3x = 6 - 10
0 = -4
The equation simplifies to 0 = -4, which is not true. This means that there is no solution for x that satisfies the equation. Therefore, the correct response is "The equation has no solution."
1 answer