Identifying and Solving System of Equations

a method used to solve a system of equations which involves solving the equations for one variable and then substituting that expression into the other equation

• graphing

• evaluate

• elimination

• substitution

a method of solving a system of equations by graphing each equation and identifying the point where they intersect or if they do not intersect

• graphing

• evaluate

• elimination

• substitution

What is the definition of systems of equations?

• A set of two or more equations containing a set of common variables

• A relationship between two variables resulting in a straight line

• An algebraic equation that can be written in slope-intercept form

• The point where the input is zero

What is a solution in a system of equations?

• The set of values that makes all of the equations in the system true

• A system of equations that has no set of values which will satisfy both equations

• A system of equations that has one intersection

• A system of equations in which both equations are exactly the same

What is a no solution in a system of equations?

• The set of values that makes all of the equations in the system true

• A system of equations that has no set of values which will satisfy both equations

• A system of equations that has one intersection

• A system of equations in which both equations are exactly the same

What is a one solution in a system of equations?

• The set of values that makes all of the equations in the system true

• A system of equations that has no set of values which will satisfy both equations

• A system of equations that has one intersection

• A system of equations in which both equations are exactly the same

What is an infinite solution in a system of equations?

• The set of values that makes all of the equations in the system true

• A system of equations that has no set of values which will satisfy both equations

• A system of equations that has one intersection

• A system of equations in which both equations are exactly the same

a situation where there is one or infinitely many solutions that satisfies all of the equations in the system; this happens when lines are intersecting

• no solution

• consistent system

• inconsistent system

• parallel lines

a situation where there is no solution that satisfies all of the equations in the system; this happens when lines are parallel

• one solution

• consistent system

• inconsistent system

• infinite solutions

What are points of intersection?

• To understand and make sense of a math problem, equation, or graph

• To look at information to gain a deeper understanding or draw conclusions

• Specific locations where two or more lines meet on a graph

• A pair of straight lines that run in the same direction and never intersect