Question

solve and check.label ant contradictions or identities.

5(t+1)+8=3(t-2)+6
5t+5+8=3t-6+6
5t+13=3t
2t=-13
t=-13/2
check59t+1)+8=3(t-2)+6
5(-13/2)+1+8=3(-13/2)-2)+6
-65/2+13=-39/2
13=-39/2+65/2
13=26/2
13=13
want to know if this right

Answer 1

your solution is correct

in the check, most educators would expect you to work on each side independently and use
LS = .....
RS = .....
ending up with LS = RS

so you would have
LS = 5(-13/2)+1+8
= -65/2+5 + 8
= - 32.5 + 13
= -19.5

RS = 3(-13/2)-2)+6
= -39/2 -6 + 6
= -39/2
= - 19.5
= LS

so t = -13/2