Solving Systems of Equations

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Front

What is the graphical method of solving systems of equations?

Back

Plotting the equations on a graph and identifying the point(s) where they intersect.

Front

What does the intersection point of two lines represent in a system of equations?

Back

The solution to the system, which is the values of the variables that satisfy both equations.

Front

What is an infinite number of solutions in a system of equations?

Back

When two equations represent the same line, meaning every point on the line is a solution.

Front

What is a unique solution in a system of equations?

Back

When the lines intersect at exactly one point, providing a single solution for the variables.

Front

What is no solution in a system of equations?

Back

When the lines are parallel and never intersect, indicating there are no values that satisfy both equations.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 in the equation and solve for x.

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x) between two points on the line.