MI LT 4 Solving Systems

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 equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

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

Front

How do you solve a system of equations using elimination?

Back

You add or subtract the equations to eliminate one variable, making it easier to solve for the other.

Front

What is the substitution method in solving systems of equations?

Back

You solve one equation for one variable and substitute that expression into the other equation.

Front

What is the graphical method for solving systems of equations?

Back

You graph both equations on the same coordinate plane and find the point(s) where they intersect.

Front

What is the meaning of the variables in the equation x + y = 530?

Back

x represents the number of student tickets sold, and y represents the number of adult tickets sold.

Front

How do you interpret the solution (380, 150) in the context of ticket sales?

Back

It means 380 student tickets and 150 adult tickets were sold.

Front

What is the first step in solving the system 4x + 8y = 20 and -4x + 2y = -30 using elimination?

Back

You can add the two equations to eliminate x.

Front

What does the solution (-9, 3) represent in the equation x + 2y = -3?

Back

It represents the values of x and y that satisfy both equations in the system.