Without solving them, say whether these equations have a positive solution, a negative solution,

a zero solution, or no solution.

Positive solution = the answer is a positive number.

Negative solution = the answer is a negative number.

Zero solution = the answer is zero.

Negative solution = the variable goes away, so you can't solve it.

a. 3x=5

b. 5z+7=3

c. 7-5w=3

d. 4a=9

e. y=y+1

a. 3x=5 Positive Solution

Reasoning: You're working with only positives

b. 5z+7=3 Negative Solution

Reasoning: If you carry the 7 over the non-coefficient numbers will be negative thus making your answer negative

c. 7-5w=3 Positive Solution

Reasoning: both the coefficients and the non coefficients will be negative if solved and thus will result in the negatives becoming positive when dividing the 5w

d. 4a=9 Positive

Reasoning: The first step would be to divide the 9 by 4 and the resulting number would be positive

e. y=y+1 Negative Solution (No solution)

Reasoning: y can never equal itself with changing. Thats like saying 0 is 1. This has no solution but based on the rules this is negative solution