Precalculus 8-02 Name: ___________________
Created by Richard Wright – Andrews Academy To be used with Richard Wright’s Precalculus
Precalculus
8-02 Two-Variable Linear Systems
Three possibilities for solutions
• 1 Solution: ___________________
and _____________________
• Infinitely Many Solutions:
_____________________ and
_____________________
• No Solution: _________________
Solving Linear Equations by Elimination
1. Write the equations in _____________________(ax + by = c)
2. Obtain coefficients of one variable that differ only in ___________________by _____________________the equations by constants.
3. _____________________the equations and _____________________the resulting equation. (A variable will be eliminated.)
4. ___________________________ the answer into either original equation and solve.
5. _____________________your solution.
• If _____________________the variables are _____________________and the result is
o True (like 0 = 0), there are ____________________________________
o False (like 0 = 9), there are ___________________________________
Solve {4𝑥 + 𝑦 = −3
𝑥 − 3𝑦 = 9