How do you write a system of linear equations in two variables? Explain this in words and by using mathematical notation in an equation.
First, the definition of a "system of linear equations" is: a set of equations (at least 2) with a minimum of 2 variables.
Usually this is done using x and y as it refers to the coordinate plane for graphing purposes, but does not have to be x and y.
A linear equation is an algebraic equation in which each term is either a constant or a product of a constant and a single variable. Linear equations can have one or more variables.
To write the system, we will stick with using the variables x and y. The 2 equations can be written in any form. (Slope-intercept, point-slope, standard, etc)
I will use standard form for the equation of a line which is: `ax + by = c.`
Therefore in order to write a system we can let a,b, and c be any constant. Using standard form:
This means I could have: `3x -2y = 5`
`5x + 4y = 2`