# How to write a system of linear equations in 2 variables

In a system of linear equations, each equation corresponds with a straight line corresponds and one seeks out the point where the two lines intersect. ## Economics: Leontief Models

Are you sure you want to delete this answer? Yes Sorry, something has gone wrong. This must be a general question, right? This is easy if you have the equations of two lines in a plane; just write them together in standard form. Remember that you're trying to find the point where two lines intersect; that's what solving the system does.

Combine the two equations into one by eliminating one variable either by substitution or by linear combination; once you find one of the variables, you then solve for the other and you have the coordinates of the intersection point. If, when you try to eliminate one of the variables, they both go away, then there is either no solution or an infinite number of them; if the resulting closed statement is false, then the two lines are parallel and distinct, and since no point can lie on two lines like that simultaneously, there is no solution.

If the closed statement is true, then the lines are coincidental, so whatever solves one solves the other as well, and there are an infinite number of points that do it. I'm a math teacher in California.Solving Systems of Linear Equations I When you want to solve a system of linear equations there are three operations you can perform on the system of equations that does not change the answer to the system (it is an equivalent system).

Linear Equations in Three Variables R2 is the space of 2 dimensions. There is an x-coordinate that can be any real number, and there is a y-coordinate that can be any real number. The system of linear equations with 2 variables. These exercises will help to check how you are able to solve linear equations with 2 variables.