Solving Systems of Linear Equations by Graphing

Learn to solve systems of linear equations by graphing! Find solutions, identify parallel lines, and understand infinite solutions.

How to solve a system of equations by graphing both equations Watch listen to the video provided. Try your attempt at our second unit to see what you can learn by yourself! I will go over this with you when I am back!This is a pre-assessment to see what you remember back in Algebra 1 and bringing it over with some Algebra 2 content! Solving Systems of Equations by Graphing Notes Fill in each blank with the correct vocabulary. A system of linear equations is a set of two or more linear equations graphed on the same coordinate plane.The solution to a system of linear equations is the point at which the lines intersect.A system of linear equations has no solution if the lines are parallel, meaning they have the same slope and different y-intercept.A system of linear equations has infinite solutions if the lines are the same, meaning they have the same slope and the same y-intercept.Linear equations can be in the form y = mx + b. This is known as slope intercept form of an equation.Ax + By = C is the standard form of an equation. Match each system of linear equations with its solution. No Solution One Solution Infinite Solutions Match each system of linear equations to its solution. Show your work for all problems on a separate sheet of paper. Make sure your equations are solved for y. You can also use desmos! y = -1 - 1 and x + 3y = -12 No Solution y = -3x - 6 and y = -2 + 1 (-3, 3) 7x - 2y = -14 and y = 1 - 5 (-4, -7) x + 2y = 4 and y = 3 - 5 (8, -2) y = 1 + 4 and x - 2y = -8 Infinite Solutions Complete the notes BEFORE moving on through the worksheet. Complete the problems in the video the wizer me before class. Unit 5 Edpuzzle Notes 1 - Solving Systems of Equations by Graphing Sort the following systems of equations. Determine if the following systems of equations has one solution, no solution or infinite solutions. Use the graphing method from the video to help you sort them out. (Some of them are hard to see, try zooming in and out in chrome to see them) One Solution No Solution Infinite Solutions