The common one is a line. y=mx+b Let's look at the line y=2x+4 This is a line with slope 2 and y intercept 4. The solutions will be all the points on that line and there are an infinite number of them. If x=0, y=4 if x=1, y=6 etc Now you could also look at a system of equations, y=2x+4 and 2y=4x+8. Since these in fact represent the same line, one again the solution is infinite. This is a trivial example just to show you how an infinite number of points can be the solution to 1 or more equations.
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In the 1880s, Poincaré created functions which give the solution to the order polynomial equation to the order of the polynomial equation
it depends. if (for example) y=x2 then there are an infinite amount of answers. if there is an equation like: If (variable X)= (variable Y) + 5 and if X=5, what is Y? then there is only one answer. check an algebra book, it can give you a more detailed answer.
Dear Questioner its not able to solve two variables for one equation, give one more equation. Thanks
If there are two variables, you'll usually need two equations in the two variables, to be able to find a specific solution. How you write the equation depends on the specific problem. In general, it requires some practice, to be able to convert a word problem into mathematical equations.
Solving equations in three unknowns (x, y and z) requires three independent equations. Since you have only one equation there is no solution. The equation can be simplified (slightly) by dividing through by 4 to give: x + 2y + 3z = 11