System of Equations Review- All Methods

Review systems of equations! Master substitution, elimination, graphing, and special solutions.

Which method is best? Click on the best method to use to solve the system of equations. Substitution Method y = 2x - 1 and 3x + 4y = 12 5x - 2y = 15 and x = -2y - 7 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. Use the word bank to help you. 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 y = -4x + 3 and y = -4x - 7 No solution y = 4 + 5 and y = 2 + 5 Infinitely many solutions y= 5x-7 and y = 4x - 2 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. Click on the paintbrush to plot points and then under the star, you will find the line tool so you can connect your points.y = -2x - 4 y = 3x + 1 Solution to a System of Equations Write the coordinates to the solution to this system of equations as (x,y) - no spaces! (1,3) Solve the following system of equations:x = 2y -84x + 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 to get the y terms to cancel subtract the two equations divide the two equations to get the x terms to cancel multiply the first equation by 4 Solve the system of equations:2x + y = 73x - 4y = 5 (-1, 9) (-3, -1) (7, 4) (3, 1) Solve the system of equations: y = 7x - 2y = 5x + 8 (33, 5) (-2, 13) (7, 15) (5, 33)