Which of the following describes the solution to the equation below?
4(3x+7)-5=12x+8
The solution to the equation is x = -3
Which of the following describes the solution to the equation below?
-4(4x+11) = -2(8x+22)
no solution
one solution
Infinite solutions
The equation -4(4x+11) = -2(8x+22) is an identity and has infinite solutions.
Which of the following describes the solution to the equation below?
26+4x=12x
no solution
one solution
Infinite solutions
The solution to the equation 26+4x=12x is x = 4.
Which of the following describes the solution to the equation below?
8x+17 = -24+8x
The equation 8x+17 = -24+8x is an identity and has infinite solutions.
Which statement represents the simplified form of the given equation and correctly describes the solution
9x + 6 = 3(3x + 2)
The simplified equation is 9x + 6 = 9x + 6.
This equation is an identity, meaning it is always true regardless of the value of x. Thus, the equation has infinite solutions.
Which statement represents the simplified form of the given equation and correctly describes the solution
1/2(4x+2)=2(x+1/2)
The simplified equation is 2x+1 = 2x+1.
This equation is an identity, meaning it is always true regardless of the value of x. Thus, the equation has infinite solutions.
Which statement represents the simplified form of the given equation and correctly describes the solution
9x+13=3(3x+4)
The simplified equation is 9x + 13 = 9x + 12.
This equation is inconsistent, meaning there is no value of x that satisfies the equation. Thus, the equation has no solution.
Which of the following equations has infinitely many real solutions?(1 point)
Responses
6x + 1 = 6x − 1
6(x − 6) = 6x − 36
6(x − 6) = 6x + 36
6x + 1 = x − 1
The equation 6(x - 6) = 6x - 36 has infinitely many real solutions.
Complete the equation below to create an equation with no solutions
5(4x+7) - 2x =___x+21
Complete the equation below to create an equation with no solutions
5(4x+7) - 2x = 20x + 35 - 2x = ___x+21
An equation with no solutions can be created by simplifying the equation as:
20x + 35 - 2x = 2x + 35 = 0x + 35
Therefore, the completed equation with no solutions will be:
0x + 35 = x + 21
Complete the equation below to create an equation with no solutions.
5(4x+7) - 2x =___x+21
20
-20
18
-18
Complete the equation below to create an equation with no solutions:
5(4x+7) - 2x = 20x + 35 - 2x = 18x + 35
To create an equation with no solutions, we need to choose the value that makes the two sides of the equation unequal. Since the equation already simplifies to 18x + 35, we can choose any value of x and not change the left side of the equation. Therefore, adding any value to the right side (x + 21) will result in an inequality.
So, the correct choice is:
-18