|2t|- 5=7

Question

A: t=1 or -1
B: t=6 or -6
C: t=10 or -10
D: t=12 or -12

Answer 1

To solve the equation |2t|-5=7, we can isolate |2t| by adding 5 to both sides:

|2t| = 12

Next, we can split the equation into two separate equations without absolute value:

2t = 12 or 2t = -12

Now, we can solve each equation separately:

For 2t = 12, divide both sides by 2:

t = 6

For 2t = -12, divide both sides by 2:

t = -6

Therefore, the solution is t = 6 or t = -6.

The correct answer is B: t=6 or -6.