And I'll give you a second to think about that. You can literally think of 4 a's as a plus a plus a plus a. So thinking of it that way, let's get a little bit more abstract. And from that, I subtract 2 of whatever that number is. Once again, I'll give you a few seconds to think about it. And if you really think about what that means, five x's are just x plus x plus x plus x plus x.
But let's say I want to do the same type of thinking, but I'm too lazy to write the word "apples." Let's say instead of writing the word "apples," I just use the letter a. This also might be a little bit of common sense for you.
You could work it out on your own to see that they do.
They equal 1, so we're just left with x is equal to 10 times minus 4 is minus 40, 13 times 3, well, that's equal to 39. And I like to leave my fractions improper because it's easier to deal with them. The cool thing about algebra is you can always get your answer and put it back into the original equation to make sure you are right. And assuming I haven't made any careless mistakes, that should be right.
So this is just saying 5 times x, so instead of a question mark, we're writing an x. We could say we just divide both sides of this equation by 5, in which case, the left hand side, those two 5's will cancel out, we'll get x.
And the right hand side, 20 divided by 5 is 4, and we would have solved it. So if we add the whole number parts, 2 plus 7 is 9, and the fractional parts, they already have the same denominator in this problem. Well, that's just the same thing as 9 and 11/13. And if you look at that, you can realize that multiplying by 1/5 is the same thing as dividing by 5, if you know the difference between dividing and multiplying fractions. So the coefficient, all that is, all that fancy word means, is the number that's being multiplied by x. Well, it's minus 4/3 times, and dot is another way to use times, and you're probably wondering why in algebra, there are all these other conventions for doing times as opposed to just the traditional multiplication sign. And then that gets the same thing, 1/5 times 5 is 1, so you're just left with an x equals 4. We're saying negative 3/4 times some number x is equal to 10/13. And the main reason is, I think, just a regular multiplication sign gets confused with the variable x, so they thought of either using a dot if you're multiplying two constants, or just writing it next to a variable to imply you're multiplying a variable. It does not matter to us, whether you are too busy at work, concentrating on a passion project, or simply tired of a seemingly infinite flow of assignments.We will take care of them, and for a reasonable price, as we understand that students usually don’t have a lot of money to spare.I chose this site for affordable prices and excellent support. People come to us to get assistance with their academic tasks and get just that.We do not ask why you are unable or not willing to do it on your own once you contact us with words like “Help me do my homework.” You must have your reasons, and our main concern is that you end up getting a good grade.This is the same thing as saying 5 times question mark equals 20.And the reason we do the notation a little bit-- we write the 5 next to the x, because when you write a number right next to a variable, you assume that you're multiplying them. You could say, well, what number times 5 is equal to 20? But I'll show you a way to do it systematically just in case that 5 was a more complicated number. So rewriting it, if I had 5x equals 20, we could do two things and they're essentially the same thing. I think you're ready at this point to try some level one equations.