Solving linear systems by graphing is a method used to solve a system of two linear equations. A linear equation is an equation that makes a straight line when you graph it. A system of linear equations is simply two or more linear equations that need to be solved together.
To solve a system of linear equations by graphing, you first need to graph each equation on the same coordinate plane. Once you have both lines graphed, you can find the point where the two lines intersect. This point is the solution to the system of equations.
For example, let's say we have the following system of linear equations:
y = 2x + 1
y = -x + 4
To graph these equations, you need to plot points on the coordinate plane that satisfy each equation. For the first equation, you can start by plugging in different values of x to find corresponding values of y. For example, if x = 0, then y = 1. If x = 1, then y = 3. If x = -1, then y = -1. You can continue to plug in values for x and y to get additional points to plot on the graph.
Once you have enough points for each equation, you can plot the points and draw a line through them. You will end up with two lines on the graph, and the point where they intersect is the solution to the system of equations.
Solving linear systems by graphing is a great method to learn, as it allows you to visualize the equations and see how they relate to each other. It also helps you develop your graphing skills and your ability to read and interpret graphs.