Question

Use the drop-down menus to complete each equation so the statement about its solution is true.

Answer 1

Answer: The answer is: One solution.

Infinitely Many Solutions - The unknown x assumes infinite numerical values. Thus, the equation has infinite solutions.

Ex: x+2=x+2

No solution:   It has no solution.

Example:

0x = 4 → Unable to divide 4 by 0.

Step-by-step explanation: These are equations that admit at least one solution.

3x+9+4x+x=

3x+4x+x=9

8x=9

x=9

   8

Answer 2

Answer:

No solution: $3x+9+4x+x=8x+1$

One solution: $3x+9+4x+x=2x+3$

Infinitely many solution: $3x+9+4x+x=8x+9$

Step-by-step explanation:

The given equation is

$3x+9+4x+x=___$

It can be written as

$8x+9=___$

Here slope is 8 and y-intercept is 9.

No solution: For all values of x, LHS≠RHS. It means the lines have same slope but different y-intercept.

$3x+9+4x+x=8x+1$

One solution: For unique value of x, LHS=RHS. It means the lines have different slopes.

$3x+9+4x+x=2x+3$

Infinitely many solution: For all values of x, LHS=RHS.  It means the lines have same slope and y-intercept.

$3x+9+4x+x=8x+9$

Note: There are more possible equations for no solutions and one solution.