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!~