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=−10.
The equation has one solution: x equals negative 10 .
The equation has infinite solutions.
The equation has infinite solutions.
The equation has one solution: x=0.
The equation has one solution: x equals 0 .
The equation has no solution.
The equation has one solution: x = -10.
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 one solution: x=3.
The equation has one solution: x equals 3 .
The equation has no solution.
The equation has no solution.
The equation has one solution: x=−3.
The equation has no solution.
Justify why −12(x−3)−52=−16 has one solution, infinitely many solutions, or no solution.(1 point)
Responses
It has infinitely many solutions because the solution is in the form a=a.
It has infinitely many solutions because the solution is in the form a equals a .
It has one solution because the solution is in the form x=a. The solution is x=0.
It has one solution because the solution is in the form x equals a . The solution is x equals 0 .
It has no solution because the solution is in the form a=b.
It has no solution because the solution is in the form a equals b .
It has one solution, because the solution is in the form x=a. The solution is x=−12
It has one solution because the solution is in the form x=a. The solution is x=−12.
Which of the following is an example of an equation with exactly one solution?(1 point)
Responses
4x+3=4x+3
4 x plus 3 equals 4 x plus 3
3x+4=3x+4
3 x plus 4 equals 3 x plus 4
3x+4=4x+3
3 x plus 4 equals 4 x plus 3
3x+4=3x+3