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Complete the equation so that it has infinite solutions.(1 point)

4x+10=___x+___

15 answers

4x+10=4x+10
Complete the equation so that it has no solution.(1 point)
5x+12=___ x+9
5x+12=5x+9
Complete the equation so that it has no solution.(1 point)
−7x−12=___ x+12
-7x-12=-7x+12
Which of the following is an example of an equation with no solution?(1 point)
Responses

A.3x+4=4x+3
B.4x+3=3x+3
C.3x+4=3x+3
D.3x+4=3x+4
A. 3x+4=4x+3
Which of the following is an example of an equation with exactly one solution?(1 point)
Responses

A.3x+4=3x+4

B.3x+4=3x+3

C.4x+3=4x+3

D.3x+4=4x+3
B. 3x+4=3x+3
Solve for x to determine if the equation has one, none, or infinite solutions.
3(x+2)−6=3x(1 point)
Responses

A.The equation has no solution.

B.The equation has one solution: x=−3.

C.The equation has one solution: x=3.

D.The equation has infinite solutions.
To solve the equation 3(x+2)-6=3x, we distribute the 3 on the left side:

3x + 6 - 6 = 3x

Combine like terms:

3x = 3x

Subtract 3x from both sides:

0 = 0

The equation has infinite solutions.

D. 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

A.The equation has no solution.

B.The equation has one solution: x=−10.

C.The equation has one solution: x=0.

D.The equation has infinite solutions.
The equation has infinite solutions.
To solve the equation 4x = 3(x+5) - 15, we start by distributing the 3 on the right side:

4x = 3x + 15 - 15

Simplify:

4x = 3x

Subtract 3x from both sides:

4x - 3x = 3x - 3x

x = 0

The equation has one solution: x = 0.

C. The equation has one solution: x = 0.
Solve for x to determine if the equation has one, none, or infinite solutions.
5(2x+2)−7x=3x+6(1 point)
Responses

A.The equation has no solution.

B.The equation has one solution: x=6.

C.The equation has one solution: x=10.

D.The equation has infinite solutions.
To solve the equation 5(2x+2)-7x=3x+6, we start by distributing the 5 on the left side:

10x + 10 - 7x = 3x + 6

Combine like terms:

3x + 10 = 3x + 6

Subtract 3x from both sides:

10 = 6

Since our last step leads to a false statement (10 does not equal 6), the equation has no solution.

A. The equation has no solution.