Systems of Equations (Substitution & Graphing) 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 by substitution?

Back

It means to solve one equation for one variable and then substitute that expression into the other equation.

Front

What is the solution of a system of equations?

Back

The point(s) where the graphs of the equations intersect, representing the values of the variables that satisfy all equations.

Front

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

Back

It means the lines represented by the equations are parallel and never intersect.

Front

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

Back

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

Front

How do you graph a system of equations?

Back

You graph each equation on the same coordinate plane and look for points of intersection.

Front

What is the substitution method?

Back

A method for solving systems of equations by expressing one variable in terms of the other and substituting it into the second equation.

Front

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

Back

Isolate one variable in one of the equations.

Front

If y = 2x - 11, what is y when x = 6?

Back

y = 2(6) - 11 = 1.

Front

What is the graphical representation of the equation 3x - 2y = 7?

Back

A straight line on a coordinate plane.