McD Linear Systems graphing/substitution Regular

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 graphically?

Back

It means to find the point(s) where the graphs of the equations intersect.

Front

What is substitution 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 solution to the system of equations x = 2y and 5x + 2y = 48?

Back

(8, 4)

Front

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

Back

It means the lines representing the equations are parallel and never intersect.

Front

What is the solution to the system of equations x + 3y = 48 and x = y + 8?

Back

(18, 10)

Front

What is the solution to the system of equations x = 4y and x + y = 50?

Back

(40, 10)

Front

What is the solution to the system of equations 3x + 2y = 81 and y = 3x?

Back

(9, 27)

Front

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

Back

It means the equations represent the same line, so every point on the line is a solution.

Front

How do you check if a solution is correct for a system of equations?

Back

Substitute the solution back into both equations to see if they hold true.