- #1
Strafespar
- 47
- 0
Homework Statement
It seemed simple at first but, how would you solve x+y=12 also given xy=35. I can only seem to solve it by trial and error. Any solutions, I think I may be missing something that's all.
Strafespar said:hmm, I don't know how to solve this. Anyone who can, with a formula, solve this please try. Though, I don't think its possible, since x and y are interchangeable in this problem, good luck though. using y=35/x and y=12-x only gets you to--35=12y-y^2, which turns out to be: 35=xy
Strafespar said:Lol, I just thought about the quadratic formula soon after this. I can't believe I had forgotten it. I was thinking it was complex, whoops. Thanks Redsummers.
A linear equation is an algebraic equation that can be written in the form of y = mx + b, where m and b are constants and x is the independent variable. It represents a straight line when graphed.
To solve a linear equation for two unknown variables, you need to have two equations with different variables. You can then use substitution or elimination methods to determine the values of the variables.
The substitution method is a way to solve a system of linear equations by solving one equation for one variable and then substituting that value into the other equation. This method is useful when one of the equations already has one variable isolated.
The elimination method is a way to solve a system of linear equations by eliminating one of the variables. This is done by adding or subtracting the two equations to eliminate one of the variables, then solving for the remaining variable.
Yes, a system of linear equations can have no solution if the lines represented by the equations are parallel. In this case, the equations have the same slope but different y-intercepts, so they will never intersect and there is no solution.