If an equation has two variables, we'll call them (x,y), the variables can be any value as long as both sides of the equation have the same result.
If the equation was x = y, then the variables could be (1,1), (2,2), (3,3),etc...
In mathematics, when we have an equation with two variables like y = f(x), we can find the value of y when x is three by substituting x = 3 into the equation. Without the specific equation provided, it is impossible to determine the value of y when x is three. The solution would depend on the function or relationship between y and x given in the equation.
Oh, dude, x times y equals the product of x and y. It's like when you have x groups of y things, and you're too lazy to count them all out individually, so you just multiply them together and call it a day. Math, man, it's wild.
"3x + 2y - x + 2y" is an expression that is often part of an equation; possibly a linear equation, though it could be of higher order as there could be squares, cubes etc. To be definite there would be an equals sign (=) and an expression, usually a number, the other side of it.
well, by definition, a math equation is something along the lines of y=x, where either y or x can be anything, including functions or non functions. so really you could just make up anything as an equation, which means there really isn't a math equation that is the longest. for example, i could say y=x^3 +2x^2+4x+2.5x^(1/2)+cuberoot(34x^2)... yadda yadda yadda, and it would be an equation. basically there is an infinite number of terms you could have in an equation.a more suitable question would be to ask,"what is the longest applicable math equation?", which i think you probably meant in the first place. just be weary about how you use the word "equation."as for the longest applicable math equation, look at things like Nordstrand's Weird Surface, or in general, Integral Transforms are quite lengthy. applicable equations don't necessarily have to be very long to be complicated.
Yes. An equation that is not a function is called a relation. Functions are special types of relations where every input (or in other words each value in the domain) has exactly one output (or matches up with exactly one value in the range). A relation would be where you plug in a number for x but instead of only getting one number out for y, you get more than one. Example: y2=x If you plug in 4 for x and solve for y by taking the square root, then y could equal either positive 2 or negative 2, since 22 is 4 and (-2)2 is also 4. In this case, x corresponds with two output values for y (2 and -2) which means that while this equation is a relation, it is not a function. Domain here would refer to all numbers that make sense for x. In other words, what numbers can you plug in for x, and get an answer that is not imaginary or undefined. In the example above, I could not plug in negative numbers for x, because when I try to solve for y I would get an imaginary number. So we would say that the domain of that relation is x> or equal to 0. The Range for a relation is all of the possible output values. So for all the values of x that you can plug in, what are all the possible values of y I could get out? If you look at it, since I'm only plugging in 0 for x or any other number larger than 0, that would imply that y can only be 0 or bigger as well. So the range here would be y > or equal to 0. I hope that helps!
In algebra, variables are represented by letters such as x. A variable could be any number. That number is the "value" of the variable. In an expression, you can choose a number to put in for x, and simplify to get a number which is the value of the expression. In an equation, you can solve for the value of x, which will be the value of x which makes the equation true.
It could be a linear equation in two variables. A single linear equation in two variables cannot be solved.
You can't. No matter what you can not know the value of one of the variables without knowing the value of the other. All the possible values they could be can be represented on a graph by the line (rearranged from the equation): y = x - 4.5
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The equation isn't quite clear - some symbols get lost in the questions. In any case, you can solve the equation for "y", then replace some values of "x" and use the equation to calculate the corresponding values for "y".
It could be an equation or inequality.
It could be an expression or an equation or inequality.
Yes, but it could be very difficult to interpret the graph. However, if some of the variables were qualitative or binary, it would not be too bad.
Wonderful. Thanks for sharing. If we had another equation in addition to that one, then we could find unique values for 'x' and 'y' that satisfy both. With only this equation, there are an infinite number of pairs of values that satisfy it, just as long as y = 0.75x + 2.75 .
n-5 is an expression, it cannot be a solution. Furthermore, there are infinitely many possible equations for which n = 5 could be a solution - even with the added requirements of the question.
As it is a function and a parabola, it has many y-values. To find a certain one, you would plug a number in for x and solve it, or you could graph the equation see what points fall on the curve. In essence, that equation is the y-values.
The domain. It need not be the "independent variable" since the variables could be interdependent.