Systems of Linear Equations-Review

Master systems of linear equations with this review! Covers substitution, elimination, graphing, and special cases.

Which method is best? Place the system of equations under the best method to use to solve the problem. Substitution Method y = 2x - 1 and 3x + 4y = 12 5x - 2y = 15 and x = -2y - 7 y = -3x + 4 and y = -7x + 9 Elimination Method 3x + y = 14 and 4x - y = 21 4y + 2x = 7 and -2y + 5x = 11 x + y = 3 and 2x - y = 0 Special Systems Not every system of equations has one easy solution. There are special situations that can lead to no solution or infinitely many solutions. Fill in the blanks below. A system of equations has no solution if the lines are parallel.A system of equations has infinite solutions if the last are the same.A line has one solution if the lines intersect once. Solve the systems of equations and match them with their appropriate number of solutions -3x+3y=4 and -x+y=3 No solution 2x+8y=6 and -5x-20y=-15 Infinitely many solutions y=5x-7 and -3x-2y=-12 One solution Error Analysis: Find and describe the error in the problem above. System of Equations - Graphing Use the graph to find the solution to the following system of equations:y = -2x - 4 y = 3x + 1 Solution to a System of Equations Write the coordinates to the solution to this system of equations. (1, 3) Solve the following system of equations:x = 2y - 184x + y = 13 (2, -5) (-2, 3) (2, 5) (-2, -5) What is the correct first step to solve this system of equations?4x - 3y = -102x + 3y = 4 add the two equations together subtract the two equations multiply the second equation by 3 multiply the first equation by 4 Solve the following system of equations:2x + y = 73x - 4y = 5 (-1, 9) (-3, -1) (7, 4) (3, 1)