Simultaneous equations
Pages
Simultaneous equations by elimination
Adding or subtracting equations to remove one unknown, then substituting back.
Scaling before eliminating
Multiplying one or both equations so a pair of coefficients match.
Simultaneous equations by substitution
Replacing one unknown with an expression from the other equation.
Forming simultaneous equations from a problem
Turning two facts about two unknowns into a pair of equations to solve.
A linear and a quadratic equation together
Substituting the linear equation into the quadratic, pairing each x with its y.
Practice
Simultaneous equations by elimination
Adding or subtracting equations to remove one unknown, then substituting back.
PracticeScaling before eliminating
Multiplying one or both equations so a pair of coefficients match.
PracticeSimultaneous equations by substitution
Replacing one unknown with an expression from the other equation.
PracticeForming simultaneous equations from a problem
Turning two facts about two unknowns into a pair of equations to solve.
PracticeA linear and a quadratic equation together
Substituting the linear equation into the quadratic, pairing each x with its y.
PracticeSimultaneous equations review
Elimination and substitution, worded pairs.