Question

Complete the equation so that it has no solution.(1 point)
5x+12=
x+9

Answer 1

Complete the equation so that it has no solution.(1 point)
5x+12= x+9

Answer 2

Solve for x to determine if the equation has one, none, or infinite solutions.

6(2x+4)−24=12x

(1 point)
Responses

The equation has one solution: x=−20.
The equation has one solution: x equals negative 20 .

The equation has no solution.
The equation has no solution.

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 .

Answer 3

Which of the following is an example of an equation with no solution?(1 point)
Responses

3x+4=3x+3
3 x plus 4 equals 3 x plus 3

4x+3=3x+3
4 x plus 3 equals 3 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

Answer 4

To make the equation have no solution, we need to create a contradiction. One way to do this is to make the coefficients on the x terms unequal.

To achieve this, we can multiply the second equation by a non-zero constant. Let's choose -5:

5x + 12 = -5x - 45

Now we have:

5x + 12 = -5x - 45

Adding 5x to both sides:

10x + 12 = -45

Subtracting 12 from both sides:

10x = -57

Dividing by 10:

x = -57/10

So the solution is a single number, which means there is no solution that satisfies both equations simultaneously.