Question

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

(all drop downs are 0-9 if needed)

Answer 1

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`

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.

1) 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`

2) One solution:

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

`3x+9+4x+x=2x+3`

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`

Answer 2

Explanation:

No solution :

8x + 9 = 8x + 7 (because 8x will eliminate 8x and 9 isn't =7)

one solution :(give right side x a smaller number then the one on the left and a different number then 9 from the left )

8x + 9 = 7x + 8

infinitely many solution :(means whatever value you write for x there will be an answer)

8x + 9 = 8x +9