Solving Simultaneous Linear Equations Graphing

What is the second equation in this worded problem? (The related phrasing is underlined): Find two numbers whose difference is 5 and sum is 11.

• x - y = 5

• x + y = 11

• 6 - y = 5

• 6 + 5 + x = 11

The second step in solving simultaneous linear word problems is to translate the problem into two equations. Once you have the two equations, what can you do to find the solution?

• Trial and error

• Graph or substitute

• Nothing

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 another term for systems of equations?

• Simultaneous Equations

• Linear Functions

• Linear Equations

• y-intercept

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

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 is the slope?

• 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 constant rate of change relating the two variables in a linear function

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

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