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Linear Equations in Two Variables Quiz

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Questions and Answers

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 $3x - 4y = 12$?

$(3, 2)$ (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?

Parabola

Hyperbola

Circle

Line (correct)

What does the graph of the linear equation $2x + 3y = 6$ look like?

<p>A straight line</p> Signup and view all the answers

If a linear equation in two variables has no solution, its graph will be?

<p>Parallel lines</p> Signup and view all the answers

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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Description

Test your knowledge of linear equations in two variables with this quiz. Brush up on writing and solving linear equations and learn to represent them graphically.