Question

-3t + (-8)=25

what is t

Answer 1

t = -11

Explanation:

Solve for t:

-3 t - 8 = 25

Add 8 to both sides:

(8 - 8) - 3 t = 8 + 25

8 - 8 = 0:

-3 t = 25 + 8

25 + 8 = 33:

-3 t = 33

Divide both sides of -3 t = 33 by -3:

(-3 t)/(-3) = 33/(-3)

(-3)/(-3) = 1:

t = 33/(-3)

The gcd of 33 and -3 is 3, so 33/(-3) = (3×11)/(3 (-1)) = 3/3×11/(-1) = 11/(-1):

t = 11/(-1)

Multiply numerator and denominator of 11/(-1) by -1:

Answer: t = -11

Answer 2

Explanation

• Given the equation.

`- 3t + ( - 8) = 25`

• Distribute the plus/positive in the negative. Remember that plus × minus = minus.

`- 3t - 8 = 25`

• Solve for t-term by making t as the subject of equation.

`- 3t = 25 + 8 \\ - 3t = 33 \\ t = (33)/( - 3) \longrightarrow \frac{ \cancel{33}}{ \cancel{ - 3} } = (11)/( - 1) \\ t = - 11`

• Answer Check by substituting the value of t in the equation.

`- 3( - 11) + ( - 8) = 25`

Distributing or multiplying both negative, we would get positive.

`33 - 8 = 25 \\ 25 = 25 \: \: \purple{ \checkmark}`

The equation is true for t = -11. Hence the answer is t = -11.

Answer

`\large \boxed{t = - 11}`

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