Graphical Solution
ICSE · Class 9 · Mathematics
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Graphs of Linear Equations in Two Variables
- A linear equation in two variables has the form ax + by + c = 0, where a, b, c are constants and x, y are variables
- The graph of a linear equation in two variables is always a straight line
- To draw a graph, we need at least two points, but plotting three points ensures accuracy
Graphical Solution of Simultaneous Linear Equations
- Two linear equations with two variables can be solved graphically by finding their intersection point
- Draw graphs of both equations on the same coordinate system
- The intersection point gives the solution (x, y) for both equations
Practical Applications and Graph Reading
- Graphs can represent real-life situations like cost-profit analysis, supply-demand, etc.
- Breakeven point is where cost equals revenue (intersection of cost and revenue lines)
- Profit/loss can be calculated by finding vertical distance between lines
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