TOPIC 3: SYSTEM OF LINEAR EQUATIONS Flashcards
1
Q
Ways to solve simultaneous equations
A
- Substitution
- Elimination
- Graphical Method
2
Q
What is a linear equation?
A
Each term contains exactly 1 variable with power of at most 1
3
Q
x - 2y + 3z = 120
Is this a linear equation?
A
Yes. Each term has exactly 1 variable and power at most 1.
4
Q
xy + x + y = 1
Is this a linear equation?
A
No. The first term has 2 terms - x and y.
5
Q
x² - 3y = 10
Is this a linear equation?
A
No. The first term has a power of more than 1.
6
Q
2x₁ + 3x₂ - 45x₃ = 123
Is this a linear equation?
A
Yes. Yes. Each term has exactly 1 variable and power at most 1.
7
Q
3 possible solutions to system of linear equations
A
- Exactly one solution
- Infinitely many solutions
- No solution
