|2t| − 5 = 7
A. t = 1 or −1
B. t = 6 or −6
C. t = 10 or −10
D. t = 12 or −12
my answer is A
|2t| − 5 = 7
|2t| = 12
2t = 12 OR 2t = -12
t = 6 OR t = -6
What minus 5 equals 7? Is that number a multiple of 2? You are incorrect, the answer is not A.
then what is it
5+7=12
12 / 2=6
6 is a multiple of 2
the answer is B
|2*6|-5=7
|2t| - 5 = 7
|2t| - 5+5 = 7+5
|2t| = 12
Divide each side by 2 to isolate the t
t = 6
The answer is B
To solve the equation |2t| - 5 = 7, you need to isolate the variable t. Here's the step-by-step process:
1. Start by adding 5 to both sides of the equation to get rid of the -5 on the left side:
|2t| - 5 + 5 = 7 + 5
|2t| = 12
2. Next, eliminate the absolute value by considering the two cases: 2t = 12 or -2t = 12. Let's solve for each case individually:
Case 1: 2t = 12
Divide both sides of the equation by 2:
2t/2 = 12/2
t = 6
Case 2: -2t = 12
Divide both sides of the equation by -2 (which also changes the inequality):
(-2t)/-2 = 12/-2
t = -6
So the possible solutions are t = 6 (positive) or t = -6 (negative). Therefore, the correct answer is option B: t = 6 or -6.
2t-5=7
2t=7+5
2t=12
t=12/2
t=6
I hope you loved the answer!