Simultaneaus equations are sets of equations with more than one variable. The solutions obtained mean that x and y are the same for both equations. There are a few basic rules used to learn for applying the elimination method (one of many methods). Leter we will revise solving these equatuions on the graphics calculator
solving equations with 3 unknowns
without a calculator
example 1
Solve the following equation using elimination
Step 1: label the equations 1, 2 and 3
Step 2: Eliminate the x variable
Step 3: Form two simultaneous equations in y and z
Step 4: Solve for z
Step 5: Solve for y
Step 6: Solve for x
Step 2: Eliminate the x variable
Step 3: Form two simultaneous equations in y and z
Step 4: Solve for z
Step 5: Solve for y
Step 6: Solve for x
graph check with geogebra
Imagine a point located at(-3,4) on th x-y axis. Now bring the point out of the whiteboard a distance of 2.5 units (z-axis). The 3 planes intersect at that point.