Solve.
Pretend the paranpheses are absolute value bars.
(t-7) + 3 = 4
I understand how to solve it, but what were your answers for a or a few "t"s?
Thank you!
I really think its (8) b/c 8-7=1=3=4
Thanks!
|t-7| + 3 = 4
If t-7 is positive,
t-7 + 3 = 4
t = 8
If t-7 is negative,
7-t +3 = 4
t = 6
(t-7 is negative, as assumed)
So there are two answers
To solve the equation, we need to isolate the variable t. Let's go step by step:
1. Remove the parentheses (absolute value bars):
|t - 7| + 3 = 4
2. Subtract 3 from both sides to get the t-term alone:
|t - 7| = 4 - 3
|t - 7| = 1
3. Now we have two cases to consider:
a) t - 7 = 1 (the expression inside the absolute value bars is positive)
b) -(t - 7) = 1 (the expression inside the absolute value bars is negative)
Let's solve each case separately:
a) t - 7 = 1:
Add 7 to both sides: t = 1 + 7
Simplifying, we get: t = 8
b) -(t - 7) = 1:
Distribute the negative sign: -t + 7 = 1
Subtract 7 from both sides: -t = 1 - 7
Simplifying, we get: -t = -6
Multiply both sides by -1 to solve for t: t = -6 * -1
Simplifying further, we get: t = 6
Therefore, the solutions for t are t = 8 and t = 6.