Pass Check: Simultaneous Equations
Solve two equations together to find values that satisfy both.
Simultaneous equations
Two or more equations sharing variables that are true at the same time.
Elimination
Adding or subtracting equations to remove one variable.
Substitution
Replacing one variable with an expression from another equation.
Linear and quadratic pair
One straight-line equation and one curve equation solved together, often giving two solutions.
Quick check
Mixed quiz
1. Two numbers have a sum of 15 and a difference of 3. Which pair of equations models this (x is larger)?
2. Solve the simultaneous equations: x + y = 6, x - y = -2.
3. Which method eliminates y directly in x + y = 5 and x - y = 3?
4. Solve the simultaneous equations: x + y = 9, x - y = -1.
5. Solve: 2x + 3y = 18, 3x + 1y = 13.
6. Solve the simultaneous equations: x + y = 7, x - y = 1.
7. Solve the simultaneous equations: x + y = 7, x - y = -1.
8. Solve the simultaneous equations: x + y = 8, x - y = 2.