8.9A Simultaneous Linear Equations

Front

What is a simultaneous linear equation?

Back

A simultaneous linear equation is a set of equations with multiple variables that are solved together to find a common solution.

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 satisfy all equations in the system at the same time.

Front

What is the graphical representation of a system of linear equations?

Back

The graphical representation is the intersection point(s) of the lines representing each equation on a coordinate plane.

Front

What is the solution to the system of equations: y = 2x + 1 and y = -x + 4?

Back

(1, 3)

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 expression 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 they have no points of intersection, indicating that the system has no solution.

Front

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

Back

If two lines coincide, they lie on top of each other, indicating that there are infinitely many solutions.

Front

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

Back

The point of intersection is the solution to the system, representing the values of the variables that satisfy all equations.

Front

How can you check if your solution to a system of equations is correct?

Back

You can check by substituting the solution back into the original equations to see if both equations are satisfied.