8.9A 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 = 6 and x - y = 1?

Back

(3, 0)

Front

What is the substitution method in solving linear equations?

Back

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

Front

What is the elimination method in solving linear equations?

Back

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

Front

What does it mean if two lines are parallel in a system of equations?

Back

If two lines are parallel, it means there is no solution to the system because the lines never intersect.

Front

What does it mean if two lines coincide in a system of equations?

Back

If two lines coincide, it means there are infinitely many solutions because they are the same line.

Front

What is the solution to the system of equations: 3x + 4y = 10 and 6x + 8y = 20?

Back

Infinitely many solutions (the equations are equivalent).

Front

What is the point of intersection in a system of equations?

Back

The point of intersection is the coordinate point where the graphs of the equations meet, representing the solution.