Question

Check My answers!! Algebra

1. 4-t=3(t-1)-5
a. 3
b. 6
c. no solution (my answer)
d. identity

2. 8x-2(x+1)=2(3x-1)
a. 0
b. 2
c. no solution
d. identity(my answer)

3. 3(c-2)=2(c-6)
a. 2
b. -6(my answer)
c. no solution
d. identity

4. 0.5(m+4)=3(m-1)
a.-2
b. 2(my answer)
c. no solution
d. identity

Thanks!

Answer 1

first one is wrong
you can solve
\[4-t=3(t-1)-5\]

Answer 2

second one is right
\[ 8x-2(x+1)=2(3x-1)\] both sides are equal to
\[6x-2\]

Answer 3

third one is right

Answer 4

fourth one is right
only the first is wrong

Answer 5

you will only get "no solution" if the variable drops out and you are left with something like \(3=5\)
\[ 4-t=3(t-1)-5\]multiply out on the left
\[4-t=3t-3-5\]combine like terms
\[4-t=3t-8\]add \(t\)
\[4=4t-8\]add \(8\)
\[12=4t\]divide by \(4\)
\[3=t\]

Answer 6

i meant multiply out on the RIGHT i suppose

Answer 7

Thanks I get it now!

Answer 8

yw