Q1
What are simultaneous equations?
AEquations with the same variables solved together
BA single equation
CUnrelated equations
DOnly equations with one variable
ICSEClass 9 (ICSE)MathematicsCh 6 · Topic 1
Simultaneous (Linear) Equations
Simultaneous linear equations involve two or more equations with the same variables, solved together to find values satisfying all equations
Core concept
The substitution method solves one equation for a variable, then substitutes that expression into the other equation.
How it works
The elimination method adds or subtracts equations to eliminate one variable, making it easier to solve for the remaining variable.
Why it matters
For example, solving x+y=10 and x-y=2: adding gives 2x=12, so x=6, then y=4 (from x+y=10).
Key detail
Simultaneous equations are useful for solving real-life problems involving two unknowns, like finding two numbers given their sum and difference.
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• Simultaneous equations have the same variables.
• Substitution solves one equation, substitutes into other.
• Elimination adds/subtracts to remove a variable.
• x+y=10, x-y=2: add to get 2x=12, x=6, y=4.
• This finds values satisfying both equations.
• Useful for problems with two unknowns.
• Example: finding numbers from sum and difference.
• Both methods lead to the same solution.