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Questions and Answers
Which of the following is a linear equation in two variables?
Which of the following is a linear equation in two variables?
- $rac{x}{2} + rac{y}{3} = 1$
- $3x + 4 = 7y$
- $2x - 3y = 5$ (correct)
- $x^2 + y^2 = 25$
What is the solution to the linear equation $3x - 4y = 12$?
What is the solution to the linear equation $3x - 4y = 12$?
- $(3, 2)$ (correct)
- $(4, 0)$
- $(0, -3)$
- $(8, 6)$
If a linear equation in two variables has a unique solution, it means that the equation's graph is a?
If a linear equation in two variables has a unique solution, it means that the equation's graph is a?
- Parabola
- Hyperbola
- Circle
- Line (correct)
What does the graph of the linear equation $2x + 3y = 6$ look like?
What does the graph of the linear equation $2x + 3y = 6$ look like?
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If a linear equation in two variables has no solution, its graph will be?
If a linear equation in two variables has no solution, its graph will be?
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Study Notes
Linear Equations in Two Variables
- A linear equation in two variables can be identified from a given equation.
Solution of Linear Equations
- The solution to the linear equation 3x - 4y = 12 is the point of intersection of the equation's graph with the coordinate plane.
- A linear equation in two variables has a unique solution, which means its graph is a straight line.
Graph of Linear Equations
- The graph of the linear equation 2x + 3y = 6 is a straight line.
- If a linear equation in two variables has no solution, its graph will be parallel lines that do not intersect.
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