Question

Which equation has at least one solution? Mark all that app A. 2x-1= 2 B. 3 y + 1) = 3y 1 C. 5p - (3 + p) = 6p + 1 D. 4/5m=1-1/5m E. 10 +0.5w =1/2w - 10 F. 4a + 3(a - 2) = 8a - (6 + a) Answer Choices:

Answer 1

Let's check the options

A.

2x - 1 = 2

2x= 3

x= 3/2=1.5

option A has atleast one solution

B

3y+ 1 = 3y

option B has no solution

C.

5p - (3 + p) = 6p + 1

5p - 3 - p = 6p + 1

4p - 6p = 1 + 3

-2p = 4

p =-2

option C has atleast one solution

D.

4/5 m = 1- 1/5 m

4/5 m + 1/5m = 1

1m = 1

m = 1

Option D has atleast one solution

E.

10 + 0.5w = 1/2w - 10

0.5 w - 1/2 w = -10 - 10

option E has no solution

F.

4a + 3(a-2) = 8a - (6+a)

4a +3a - 6 = 8a -6 - a

7a -6 = 7a - 6

option F has many solution. Hence it also has atleast one solution

Therefore;

option A, C, D and F has atleast one solution