algebra

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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

  • algebra -

    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

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