CBSE Class 9 Mathematics
Question 6 of 9
Linear Equations in Two Variables — Question 9
Back to all questionsGiven,
⇒ 5 = 2x
On re-arranging the equation, we have :
⇒ -2x + 5 = 0
⇒ (-2)x + (0)y + (5) = 0
Comparing above equation with ax + by + c = 0, we get :
a = -2, b = 0 and c = 5
Hence, linear equation : -2x + 0.y + 5 = 0, a = -2, b = 0 and c = 5.
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Mathematics | Linear Equations in Two VariablesWeb Content • Interactive Notes
Linear Equations in Two Variables — Interactive Study Guide
Infinite Solutions
A linear equation in two variables has infinitely many solutions. Each solution is a point on the line. The line extends forever in both directions.
Key Concept: One equation, two unknowns = infinite solutions. You need TWO equations to get a unique solution (Class X topic).
Graphing Made Easy
- Rewrite as y = mx + c.
- Make a table: choose 3 values of x, calculate y for each.
- Plot the 3 points. If they’re collinear, draw the line.
Special Lines
y = 3: Horizontal line, 3 units above x-axis.
x = −2: Vertical line, 2 units left of y-axis.
y = x: Line at 45° through origin.
Quick Self-Check
- Is (2, 3) a solution of x + y = 5? (Yes: 2 + 3 = 5)
- Give 3 solutions of y = 2x. ((0,0), (1,2), (2,4))
- What is the equation of the x-axis? (y = 0)