Practice and Revision - Linear Equations in Two Variables
Let us practise and revise what we learned about linear equations in two variables. A linear equation in two variables has the form ax+by=c,
Core concept
A linear equation in two variables, like 2x+3y=12, has infinitely many solutions, each represented as a point on a line when graphed.
How it works
A system of two linear equations can be solved using substitution (solving one variable, substituting into the other equation).
Why it matters
Elimination method solves systems by adding or subtracting equations to eliminate one variable, finding the value of the other.
Key detail
Graphically, the solution to a system of two linear equations is the point where their two lines intersect on a graph.
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Quick notes
• Linear equation: ax+by=c form.
• Example: 2x+3y=12, infinite solutions.
• Each solution is a point on a line.
• Substitution method: solve, substitute.
• Elimination method: add/subtract to eliminate.
• This finds the other variable's value.
• Graphical solution: intersection point of lines.
• Practice builds equation-solving skills.