 # SIMULTANEOUS EQUATIONS INVESTIGATION

```SIMULTANEOUS EQUATIONS INVESTIGATION
In this task, you will investigate the patterns in the intersection of two lines  =  and
= − + 2
investigation to include other lines.
Method
1. Consider the lines  =    = − + 2
 Use method by elimination to solve the simultaneous equations. You must
show all working.
 Using technology, find the intersections of the lines given by equations and
graph the pairs of lines on Cartesian Plane.
2. Solve the following pairs of equations  =  +    = − + 2 +
using the substitution and graphical methods. Check the solutions.
Consider various k ≥ 0 values . Make an initial conjecture about the solutions of these
simultaneous equations.
3. Investigate your conjecture for any real value of k. Refine your initial conjecture as
necessary.
4. Does your conjecture hold if the intersecting lines are changed? Modify your
conjecture, if necessary and prove it.
``` # Math Analysis Honors – Worksheet 44 Multivariate Linear Systems # Solving Systems of equations Video Lessons Directions: Watch all # Practice A 2.1 Name ——————————————————————— Date ———————————— # 國家理論科學研究中心 IAMS / NCTS Applied Math Seminar # Wake Forest University Handout 4 – Solving Linear Equations # Mathematics Exam Examples Math Diagnostic Testing Project (MDTP) # Heat and Navier-Stokes equations in supercritical function 