Solving System of Linear Equation

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

What does it mean if a system of linear equations has no solution?

Back

The lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of linear equations has exactly one solution?

Back

The lines intersect at a single point.

Front

What does it mean if a system of linear equations has infinitely many solutions?

Back

The lines represented by the equations are the same line.

Front

How can you determine if two lines are parallel when given their equations?

Back

If their slopes are equal and their y-intercepts are different.

Front

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

Back

It is represented by lines on a coordinate plane.

Front

What is the substitution method in solving systems of linear equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the elimination method in solving systems of linear equations?

Back

A method where equations are added or subtracted to eliminate one variable.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the intersection point of two lines graphically?

Back

By plotting both lines on a graph and identifying the point where they cross.