3.4-Choosing a Method to Solve System of Equations

Learn to choose and solve systems of equations with substitution or elimination methods. Includes practice problems!

Watch the video before doing the worksheet. First, determine which method is best to solve the system. Then solve the system using that method. Make sure to put your solution as a point, (x, y). System of Equations Method?(Substitution or Elimination?) Solution 1.5x-1.9y=-29x-0.9y=45 Substitution (63, 65) 1.2x-0.8y=-64.8x+2.4y=60 Elimination (5, 15) 18x-16y=-31278x-16y=408 Elimination (12, 33) 14x+7y=21714x+3y=189 Elimination (12, 7) x=3.6y+0.72x+0.2y=38.4 Substitution (18.7, 5) 5.3x-4y=43.5x+7y=78 Substitution (15, 9) BOOKS. A library contains 2000 books. There are 3 times as many non-fiction books as fiction books. Determine the number of each type of book. Fiction Non-fiction 500 1500 VEGETABLE STAND. A roadside vegetable stand sells pumpkins for $5 each and squashes for $3 each. One day they sold 6 more squash than pumpkins and their sales totaled $98. Write and solve a system of equations to find how many pumpkins and squash they sold. Pumpkins Squashes 10 16