How do you solve #2x + y = 5#, #3x - y =10# by graphing and classify the system?

1 Answer
Dec 4, 2017


See explanation.


To solve the system of equations by graphing you have to plot the two graphs on a single coordinate plane and see if the graphs:

  • have no common points (are two parallel disjoint lines)

  • have infinitely many common points (two functions are the same line)

  • have exactly one common point

Here we can see:

graph{(2x+y-5)(3x-y-10)=0 [-10, 10, -5, 5]}

As we can see the graphs intersect in #(3;-1)#, so the values #x=3,y=-1# are the only solution of the system.