How to Solve Linear Equations

Title for the video: Solving Linear Equations by Graphing 

The video I chose to respond to is about a graphing solution to linear equations. The following is the link to the video: 

https://www.youtube.com/watch?time_continue=3&v=86NwKBcOlow&feature=emb_logo 

A graph solution to a linear equation is a set of all the coordinates that satisfy the relation given by the equation in question. To solve a linear equation, one needs to create a kind of table that has the x values and the corresponding y values. The values are in turn used to form the set of coordinates that is (x,y) through which the straight line would pass through the points hence providing the graphical solution to the given linear equation. To generate the table, one needs to make one of the variables the subject, so that the other variable can be obtained through solving the equation. For instance, given the equation 5x + 2y = 20, making y the subject in the equation we get y = 10 – 2.5x. From this point, one can take any value of x to get the corresponding value of y. For example, if x=0, then y=10 and the coordinate will be (0,10). 

The most important piece of information I got from the video is the idea of making a table when taking a value to find its corresponding variables. The use of tables can assist in avoiding mixing the variables hence the coordinates which may, in turn, lead to a wrong solution. 

The area in the video I think could be explained better regards the graphing solution after drawing the straight line passing through the set of points. This area could have been better explained by stating that the solution to the linear equation can be located at any point where the plotted line passes by determining the corresponding x and y variables (Dash & Dalai, 2008) . For instance, if the line crosses through the point (x, y), then the solution to the equation will be the values of x and y. 

Reference 

Dash, R., & Dalai, D. (2008).  Fundamentals of linear algebra . Mumbai [India]: Himalaya Pub. House.