This document provides steps for solving systems of equations by elimination. It outlines the process of writing the system so like terms are aligned, adding or subtracting entire equations to eliminate a variable, and then substituting the result into one equation to solve for the remaining variable. It also provides examples of systems of equations to solve using this elimination method and assigns homework problems from the textbook.

1. Solve by Elimination
Section 6.3 pages 350-356

2. Steps to Solve by Elimination
1. Write the system so like terms are aligned.
2. Add or Subtract the entire equation.
3. Substitute the answer from step 2 into one
of the equations to solve for the other variable.

3. 𝑆𝑜𝑙𝑣𝑒 𝑡ℎ𝑒 𝑆𝑦𝑠𝑡𝑒𝑚
4𝑥 + 6𝑦 = 32
3𝑥 − 6𝑦 = 3

4. 𝑆𝑜𝑙𝑣𝑒 𝑡ℎ𝑒 𝑆𝑦𝑠𝑡𝑒𝑚
4𝑥 − 3𝑦 = 3
4𝑥 − 5𝑦 = 5

5. 𝑆𝑜𝑙𝑣𝑒 𝑡ℎ𝑒 𝑆𝑦𝑠𝑡𝑒𝑚
4𝑦 + 3𝑥 = 22
3𝑥 − 4𝑦 = 14

6. 𝑇ℎ𝑒 𝑠𝑢𝑚 𝑜𝑓 𝑡𝑤𝑜 𝑛𝑢𝑚𝑏𝑒𝑟𝑠 𝑖𝑠 24.
𝐹𝑖𝑣𝑒 𝑡𝑖𝑚𝑒𝑠 𝑡ℎ𝑒 𝑓𝑖𝑟𝑠𝑡 𝑛𝑢𝑚𝑏𝑒𝑟 𝑚𝑖𝑛𝑢𝑠 𝑡ℎ𝑒 𝑠𝑒𝑐𝑜𝑛𝑑 𝑛𝑢𝑚𝑏𝑒𝑟 𝑖𝑠 12.
𝑊ℎ𝑎𝑡 𝑎𝑟𝑒 𝑡ℎ𝑒 𝑡𝑤𝑜 𝑛𝑢𝑚𝑏𝑒𝑟𝑠?

7. 𝑊ℎ𝑎𝑡 𝑡𝑤𝑜 𝑛𝑢𝑚𝑏𝑒𝑟𝑠 ℎ𝑎𝑣𝑒 𝑎 𝑠𝑢𝑚 𝑜𝑓 169 𝑎𝑛𝑑 𝑎 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑜𝑓 83?

8. Homework
page 354 #7-22