Problema Solution

Determine whether the given ordered pair is a solution of the system.(-1, 6)2x = 4 - y4x = 8 - 2y

Answer provided by our tutors

This problem should be answered using Algebrator or quickmath.com. This is a computational problem, not a word problem.


In Algebrator, an appropriate flash demo for this type of problem is "Solving systems of equations". You may enter each equation on a line of its own and the software will solve this "system of two equations in two unknowns". To control the method by which the system is solved, use the drop-down menu "Solution->Settings", where both substitution and elimination are shown as options. If you wish to solve the system graphically you could simply graph the equations (enter them the same way but press "Graph All" instead) and then identify the point where the lines intersect, if they do intersect.


It is important to understand that anytime you are solving a system of equations you are answering the basic question "Do the graphs of these equations touch?". They may touch in one point (one solution), no points (no solutions) or an infinite number of points (i.e. the equations define the same line). For this reason, it is always helpful to press "Graph All" after the solution as this allows you to see a graph of the equations and better understand the solution you obtained.