Solving Systems of Linear Equations by Graphing

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.If the two lines are parallel (same slope and different y-intercept, then the system of linear equations has no solution.If the two given equations make the exact same line, then the system of linear equations has infinite solutions. Match each system of linear equations with its solution. No Solution One Solution Infinite Solutions Match each system of linear equations to its solution. 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 Which graph represents the solution to the following linear system? What is the solution to the system graphed? (1, 3) (3, -1) (1, -3) (3, 1) What is the solution to the system graphed? (6, 3) (3, 6) (-3, 6) (6, -3)