1. Why do intersecting lines represent a unique solution? Give examples to support your answer.

2. What is the significance of the name 'linear equation' to its graphical representation?

3. The solutions of line m are (3, 9), (5, 13), (15, 33), (34, 71), (678, 1359), and (1234, 2471).
The solutions of line n are (3, -9), (5, -11), (15, -21), (34, -40), (678, -684), and (1234, -1240).

a. Form the equations of both the lines. Show your work.

b. What are the co-ordinates of the point of intersection of lines m and n?

c. Write the co-ordinates of the intersections of lines m and n with the x-axis.

d. Write the co-ordinates of the intersection of lines m and n with the y-axis.

Solution Summary

This discusses the graphs of equations and the solutions of systems of equations.

... hofstra.edu/faculty/Stefan_Waner/calctopic1/regression.ht ml Module 3 - SLP Systems of Linear... Keep in mind that a system of linear equations will consist of ...

... There are three ways to solve systems of linear equations in two ... lines intersect at one place, then the point of intersection is the solution to the system. ...

Equations of Lines and Solving Systems of Linear Equations ( Simultaneous Equations ). ... 4. Solve the system of equations using the substitution method. ...

... 8.4 Systems of Linear Inequalities 1. Graph a system of linear inequalities 2 ... chapter dealt with finding the solution set of a system of linear equations. ...

Linear Equations and Systems of Equations with Parameters. ... Graph each linear equation defined as follows; 3x - 5y =15. Solve each system of equation. ...

Solving Systems of Linear Equations. ... This solution shows how to solve system of linear equations by using graphing, addition or ... Solve each system by substitution ...

... |x| > 3 and |y| > 1 1. Solve the following systems of linear equations. ... a) 4x 3y = 10 (1) & y 20 = -6x (2) We solve this system using addition. ...