Study Guide Some systems of equations cannot be solved simply by adding or subtracting the equations. One or both must first be multiplied by a number before the system can be solved by elimination. Consider the following example. Example: Use elimination to solve the systems of equations x + 10y = 3 and 4x + 5y = 5 Directions: Use elimination to solve each system of equations. (2, −3) (−3, 4) Directions: Use a system of equations and elimination to solve each problem. 5. The length of Sally's garden is 4 meters greater than 3 times its width. The perimeter of her garden is 72 meters. What are the dimensions of Sally's garden? 28 meters by 8 meters 6. Anita is 4.5 years older than Basilio. three times Anita's age added to six times Basilio's age is 36. How old are Anita and Basilio? Brasillio is 2.5 years old and Anita is 7 years old.
Elimination Using Multiplication
(1, 1)
(−1, 2)