Problema Solution

solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent.

5x-y=-3

x+2y=-5

Answer provided by our tutors

the system of equations can be re-written in graph form:


y=-5x-3

y=(-1/2)x-(5/2)


the graph-form equations are not the same and the lines cross paths in a single point, which can be estimated to be at (-0.1, -2.4), therefore the system is independent and consistent