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Linear Equations Quiz

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Questions and Answers

Which type of equations are called linear equations?

Equations with a variable of degree 2

Equations with a variable of degree 4

Equations with a variable of degree 1 (correct)

Equations with a variable of degree 3

Which equation is an example of a linear equation?

Equation 1 (correct)

Equation 2

Equation 3

Equation 4

Why is equation 2 not a linear equation?

It has a variable of degree 3

It has a variable of degree 4

It has a variable of degree 2 (correct)

It has a variable of degree 1

Which of the following is the correct definition of linear equations in two variables?

Equations that contain two variables and can be graphed as straight lines Signup and view all the answers

What is the characteristic of linear equations in two variables?

They have a single solution Signup and view all the answers

Which of the following is an example of a linear equation in two variables?

3x - 4y = 10 Signup and view all the answers

Which of the following best describes simultaneous linear equations?

A pair of linear equations in two variables Signup and view all the answers

What is the purpose of solving simultaneous linear equations?

To find the solutions for multiple linear equations Signup and view all the answers

Which of the following is NOT an example of simultaneous linear equations?

x^2 + y^2 = 25 and 2x + 3y = 6 Signup and view all the answers

Which of the following best describes simultaneous linear equations?

A pair of linear equations in two variables Signup and view all the answers

What is the purpose of solving simultaneous linear equations?

To find the solutions for both equations individually Signup and view all the answers

What are simultaneous linear equations?

A pair of linear equations in two variables Signup and view all the answers

Which of the following is the correct definition of simultaneous linear equations?

Solving linear equations in two variables simultaneously Signup and view all the answers

What is the characteristic of simultaneous linear equations?

They have infinite solutions Signup and view all the answers

Which of the following is an example of simultaneous linear equations?

x + y = 5, 2x - y = 1 Signup and view all the answers

Study Notes

Linear Equations

Linear equations are equations in which the highest power of the variable(s) is 1.
Example: 2x + 3 = 5 is a linear equation.

Characteristics of Linear Equations in Two Variables

Linear equations in two variables have the form ax + by = c, where a, b, and c are constants, and x and y are variables.
The characteristic of linear equations in two variables is that they can be graphed as a straight line.

Simultaneous Linear Equations

Simultaneous linear equations are two or more linear equations containing two or more variables, and are true at the same time.
Example: 2x + 3y = 7 and x - 2y = -3 are simultaneous linear equations.
The purpose of solving simultaneous linear equations is to find the values of the variables that satisfy both equations.
Simultaneous linear equations can be solved using the method of substitution or elimination.
The characteristic of simultaneous linear equations is that they have a unique solution, which is the point of intersection of the lines represented by the equations.