00:03
For this question, we need to first solve this equation that we're given.
00:08
T plus 2 over 2 is equivalent to 6t minus 5 over 12.
00:14
We want to solve this to find the value of t.
00:19
One of the ways they could do this is through cross multiplication, or sometimes you might hear this called the butterfly method, but basically we're going to multiply criss -cross like this.
00:34
The reason we're allowed to do this is because both sides have division.
00:39
That's what the fraction bar is showing.
00:41
So we're just undoing the division operation with multiplication.
00:45
So that's why you're allowed to do this like crisscross method.
00:48
Again, cross -molocation or butterfly, whatever you want to call it.
00:52
So i have t plus 2, this entire numerator times 12.
00:57
So i'm going to write that as 12, and then in parentheses, t plus 2.
01:02
Why am i putting parentheses when they're not there in the first place? parentheses allow us to group things together.
01:11
Since t plus 2 is together in the numerator, i'm using the parentheses to keep them grouped together.
01:17
That's important.
01:19
Then on the other side, we have two times this entire group.
01:24
So i'm going to do 2 in parentheses 6t minus 5.
01:31
So now what we end up with is a problem where we need to first.
01:34
Use the distributive property.
01:41
So on my left side of the equation, i'm going to get 12t plus 24.
01:46
When we distribute, it's always multiplication.
01:49
Equal sign comes down.
01:51
And on the other side, 2 times 6t is 12t, 2 times minus 5 is minus 10.
02:02
Now this is going to be a lot easier to solve.
02:06
It's going to give us some more space to work with.
02:09
And it helps to keep all of your steps lined up.
02:13
It might not seem like it, but that can make a big difference with helping you get the answer or causing you to get confused.
02:19
So just keep that in mind...