Simultaneous Linear Equations

Front

What are simultaneous linear equations?

Back

Simultaneous linear equations are a set of equations with multiple variables that are solved together, where the solution satisfies all equations at the same time.

Front

What does it mean to solve a system of equations?

Back

To solve a system of equations means to find the values of the variables that make all equations true simultaneously.

Front

What is the graphical representation of simultaneous linear equations?

Back

The graphical representation is where the lines of the equations intersect at a point, which represents the solution to the system.

Front

What is the solution to the system of equations: 2x + 3y = 12 and x - y = 1?

Back

(3, 2)

Front

What is the solution to the system of equations: x + y = 5 and x - y = 1?

Back

(3, 2)

Front

What is the substitution method in solving simultaneous equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method in solving simultaneous equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

What is a consistent system of equations?

Back

A consistent system has at least one solution, meaning the equations intersect at one or more points.

Front

What is an inconsistent system of equations?

Back

An inconsistent system has no solution, meaning the equations represent parallel lines that never intersect.

Front

What is a dependent system of equations?

Back

A dependent system has infinitely many solutions, meaning the equations represent the same line.