Question

I don't know how to do this

Answer 1

An equation with no solution means that it is impossible for two expressions to equal each other.

Simplify 10 + 6x = 15 + 9x - 3x:


`9x - 3x = 6x`

`10 + 6x = 15 + 6x`

Subtract 6x from both sides:


`10 = 15`
This equation has no solution.
-

Simplify 11 + 3x = 6x + 5 - 3x:


`6x - 3x = 3x`

`11 + 3x = 3x + 5`

Subtract 3x from both sides:


`11 = 5`
This equation has no solution.
-

Simplify 6x - (3x + 8) = 16x:


`6x - (3x + 8) = 6x - 3x - 8 = 3x - 8`

`3x - 8 = 16x`

Subtract 3x from both sides:


`-8 = 19x`
This equation has a solution, as x would equal -8/19.
-

Simplify 6x - 2 - 3x = 3x - 2:


`6x - 2 - 3x = 3x - 2`

`3x - 2 = 3x - 2`
This equation has infinite solutions, as both expressions are the same.