Question

Solve for t.

–17 = –9 + 4t

Answer 1

`t = -2`

Explanation:

Step 1: Add 9 to both sides

`-17 = -9 + 4t`

`-17 + 9 = 4t - 9 + 9`

`-8 = 4t`

Step 2: Divide both sides by 4

`(-8)/(4) = (4t)/(4)`

`-2 = t`

Answer:
`t = -2`

Answer 2

• 
  `\boxed{\sf{t=-2}}`

Explanation:

To solve for t, you have to isolate it on one side of the equation.

-17=-9+4t

First, you have to switch sides.

→ -9+4t=-17

Add by 9 from both sides.

`\Longrightarrow: \sf{-9+4t+9=-17+9}`

Then, you solve it.

-17+9=-8

4t=-8

Divide by 4 from both sides.

`\sf{(4t)/(4)=(-8)/(4)}`

Solve.

Divide the numbers from left to right.

-8/4=-2

`\Longrightarrow: \boxed{\sf{t=-2}}`

• Therefore, the correct answer is t=-2.

I hope this helps. Let me know if you have any questions.