Systems of Equations Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

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 substitution method in solving systems of 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 equations?

Back

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

Front

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

Back

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

Front

How do you find the y-coordinate of the solution in a system of equations?

Back

Substitute the x-coordinate back into one of the original equations.

Front

What is the first step in solving a system of equations using substitution?

Back

Get either variable by itself in one of the equations.

Front

If S represents student tickets and A represents adult tickets, what does the equation S + A = 530 represent?

Back

The total number of tickets sold.

Front

If the total receipts from ticket sales were $1740, what does the equation 3S + 4A = 1740 represent?

Back

The total revenue generated from selling student and adult tickets.