Question

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

Answer 1

Answer:

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