All right, well, welcome to this section. Again, we're still talking about methods for solving equations. And this time, we're going to use multiplication and I throw a division in here too. We're going to do a little bit more about division, the next couple of slides, but I just threw that one out in there. So if you look at this example here, the first one, x overrate equals two, well, what do we want to do? We want to solve for x right there.

So what do I need to do? Well, we need to get x alone like the previous we need to get x alone. So again, what I do on one side of the equation I've got to do to the other. So on this side, I multiply by a and Over here I multiply by. So my eight cancels out. I'm left with x.

Two times eight is 16. So x equals 16. That's it. Okay, that's it. So let's stop this. Let me clear the slide.

Okay, I've cleared the slide. So let's, let's explain this, this bottom one here. My original equation is two x minus 12 equals 36. And again, we want to get x alone. So two x minus 12 plus 12. That's going to be zero.

I don't have to show it. So I bring my two x here, and I add what I do to one side of the equation I have to do to the other. So I need to add a plus 12 on this side. So 36 plus 12 is 48. All right, so I have two x equals 48. What do I need to do?

I need to divide by two. So if I divide here by two, two cancels out, I'm left with x two into 48 is 24. So my answer is x equals 24. All right, let's go on to the next slide. All right, in this one here, I give you some examples to do. And I'd like you to stop the slide and do them.

I am going to do them for you. I'm going to go over them on the next but I really would like you to try. Alright, so hit the pause button, do them and then I'm going to go over them and give you the answers. All right. See you in the next scene. Next slide.

All right here we do and we're doing x over four equals one is my x. I'll try to make it a little bit nicer. All right? And what's, what do I want to do? Well, from previous examples, I want to get x alone. So what do I do? I have to multiply what I do on one side of the equation I got to do to the other.

So if I do four over one times x over four equals one, times four. All right, well, my fours divide a cancel out. I'm left with x. And that equals four. That's my answer. x equals four.

All right, if I want to do a check, okay, I substitute for forex. So for over four equals one is my answer it works. Okay, in this example here, I have y over four equals two. So what do I need to do? I need to get y alone. So I can say y divided by four, four over one equals what I have to do on one side of the equation I do any other.

So two times four. All right, remember we have a one in the denominator, it doesn't change anything. It's just understood. So now what do I have? I have my fours here cancel out, I'm left with y. And one times one is one.

Two times four is eight. I don't really need The one I don't need to show that. So y equals eight. And there's my answer. I can use a check here. All right?

So I can say eight over four, because I'm substituting eight foot wire right here equals what? four divided by eight is two. It checks. There's my answer. All right. Okay, this one may look a little tricky, but it's really not my original and my original equation is x divided by four equals zero.

So what do we want to do? We want to find x, so we want to get x alone. So what do I do? Okay, x over four. Remember, this cancels out cancels out. So I'm left with x.

All right, what I do on one side of the equation I got to do to the other. So if I multiply four here, times zero, we get x equals zero. That's my answer. Okay, x equals zero. And if I do a check, all right, I say zero over four equals zero. Well, zero divided by four is zero.

It checks. Okay, it may look a little sneaky, but it really fell apart. All right, in this example, here, we have x over four equals two plus three. So what's the first thing I want to do? Well, my enemies out is to get x alone, okay, but maybe I should just combine maybe two plus three is and five and say x over four equals five And again, we want to get x alone. So if I divide by four over one, I have x here.

What do I do on one side of the equation I need to do to the other? So I multiply five by four. And we happens to know that that's 20. So my answer here is x equals 20. Now I can check it. Okay?

I can say 20 divided by four equals five. And that is correct. And it worked out. Let's do the next one. Okay, on this one, here, we have V over four equals two over four. So again, We want to get V by itself.

But looking at this, this is this is good. So let me put V over four equals two over four. Well, what if I multiply for over one on both sides? Because what I do on one side of the equation I've got to do to the other. Right? And I'm left with what the and I'm left with two.

So V equals two. All right. So if I substitute over here, two over four, equals two over four, I substituted That v. Same, it's the same. Alrighty, that's it. Let's, I think there's one more after this. Let's do that.

All right, on this one here, we've got up we've got a decimal fraction or just a decimal, compared to like a fraction or a whole number. But again, I still got to get y alone, I got to get one y. So if I've got zero to five y, what do I need to do to get to one, I need to multiply that by four. So what we're going to do here is four times zero.to, five y equals what I do on one side of the equation, I do the other three times four, four times zero dot two, five is one y. Three times four is 12. And y equals 12.

That's it. All right, there's my answer. If I want to check it, I say zero dot two, five, ah 12. And that VAT equal three. And if you do the math, you'll see that that comes out 2336 912 Alrighty. Oh, okay, that ends it.

Um, and we're going to go on to the next section.