Question

solve - 18 = 6 + 3 ( t + 8)
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Answer 1

Answer:

Step-by-step explanation:

-18=6+3(t+8)

Or,9(t+8)= -18

Or,9t+72= -18

Or,9t= -72-18

Or,9t= -90

Or,t= -90/9

Or,t= -10

Answer 2

Given:

-18 = 6 + 3(t + 8)

What to do?

Solve the equation given above and find the value of t.

Solution:

-18 = 6 + 3(t + 8)

Remove the brackets,

⇒ -18 = 6 + 3t + 24

Add 6 to 24 in RHS,

⇒ -18 = 30 + 3t

Then take 30 to LHS,

⇒ -18 - 30 = 3t

Subtract 30 from -18,

⇒ -48 = 3t

Then take 3 to LHS,

⇒ $\frac{-48}{3}$ = t

Then divide -48 by 3,

⇒ -16 = t

∴ Hence the value of t is -16.

To verify:

-18 = 6 + 3(t + 8)

Substitute the value of t.

⇒ -18 = 6 + 3(-16 + 8)

Solve the brackets,

⇒ -18 = 6 + 3(-8)

Remove the brackets,

⇒ -18 = 6 - 24

Subtract 24 from -6 in RHS,

⇒ -18 = -18

∴ LHS = RHS

∴ Hence the answer is right.