Question

How many solutions does the equation 9x +3=9x + 5 have?

Answer 1

none

Explanation:

Because X has the same coefficient on both sides but a different value is being added to it, there cannot be an solution.

9x+3=9x+5

-9x -5

-2=0, which doesnt work so theres no solution

Answer 2

This equation doesn't have any solution

Explanation:

Given that,

9x +3=9x + 5

Subtract 3 from both sides

9x+3-3=9x+5-3

9x=9x+2

Since 9x cannot be equals to 9x+2, no matter the value of x.

Or further still divide through by 9

9x/9 = 9x/9 + 2/9

x=x + 2/9

it is not possible for x to be equal to x+2/9.

So it doesn't have a solution

x≠x+2/9