Solving Pair of Linear Equations

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.Elimination is when you solve a system by using algebra to cancel one of the variables in order to solve the system. 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. 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 Would you rather solve a system of linear equations algebraically or by graphing? Why?If algebraically, do you prefer using elimination or substitution?