Methods to Solving Systems of LInear Equations
Let us review the types of ways to solve a system of linear equations. Click the image of the method to review how to solve it. Start with Graphing, followed by Substitution, and finish up by covering Elimination.
Graphing:
The method of graphing requires users to put the equation into slope-intercept form. This will help students to graph the line using the SLOPE and the Y-INTERCEPT.
To solve a system of equations graphically, graph both equations and see where they intersect. The intersection point is the solution.
The method of graphing requires users to put the equation into slope-intercept form. This will help students to graph the line using the SLOPE and the Y-INTERCEPT.
To solve a system of equations graphically, graph both equations and see where they intersect. The intersection point is the solution.
Substitution:
The method of substituion requires users to have an equation set up where one variable is isolated. When that variable is ISOLATE, the value of that variable can be plugged into another equation.
Substitution works by plugging an equation back into the other equation. "Substituting" for the chosen variable and solving for the other, Then you back-solve for the first variable.
The method of substituion requires users to have an equation set up where one variable is isolated. When that variable is ISOLATE, the value of that variable can be plugged into another equation.
Substitution works by plugging an equation back into the other equation. "Substituting" for the chosen variable and solving for the other, Then you back-solve for the first variable.
Elimination:
The method of elimination requires users to put both equations into standard form. This will help students to ELIMINATE one variable by adding its opposite.
To solve a system of equations elimination, allows students to add two equations together in order to find a value of one variable, then substitute it back in to find the other. Students are also able to multiply an entire equation by a number to adjust the values of the equation so cancelling out or ELIMINATING of variables can occur.
The method of elimination requires users to put both equations into standard form. This will help students to ELIMINATE one variable by adding its opposite.
To solve a system of equations elimination, allows students to add two equations together in order to find a value of one variable, then substitute it back in to find the other. Students are also able to multiply an entire equation by a number to adjust the values of the equation so cancelling out or ELIMINATING of variables can occur.
Now that we have covered the three types of solving systems of linear equations, let's discuss when to use which method is best to use in a given situation! Click the button below to continue on.