Question

How many solutions does each equation below have? how can you tell?

a. 4×-1+5=4×+3.
b. 6t-3=3t+6
c. 6 (2m-3)-3m=2m-18+m
d. 10+3y-2=4y-y+8

Answer 1

a) This one has no solutions because the answer of the equation is 0=-1 which isn't true.

b) 6t-3=3t+6 ==> 3t=9 ==> t=3 This means that this has one solution.

c) 6 (2m-3)-3m=2m-18+m ==> 12m-18=2m-18+m ==> 9m=0 ==> m=0 so this one has no solutions.

d) 10+3y-2=4y-y+8 ==> 8+3y=3y+8 ==> 0=0 ==> Infinitely many solutions.

~Hope I helped!~