Question

13. Which equation has no solution?
5v + 3 = 5v – 5
2x – 4 = 2x + 7 – x
2y + 5 – y = 2y – 3(y – 6)
7z + 9 = –7z – 6

Answer 1

The first one:
5v + 3 = 5v - 5
Subtract 5v from both sides ->
3 = -5
This isn't true so that means there are no solutions...

Answer 2

Answer:

5v + 3 = 5v – 5  

Step-by-step explanation:

In an equation, if the variable is cancelled and we get a statement that is false, the equation has no solution.

5v+3 = 5v-5

Since we have a variable on both sides, our first step would be to subtract 5v from each side:

5v+3-5v = 5v-5-5v

3 = -5

There is never a time that 3 is equal to -5; thus there is no solution.