How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #5x-5y=10# and #3x-6y=9#?
Graph the 2 lines. A solution corresponds to a point that lies on both lines (an intersection).
Therefore check if
- They have the same gradient (parallel, no intersection)
- They are the same line (all points are solution)
In this case, the system is consistent as
There are three methods to solve this equation. I am using substitution method. this equation is consistent as a1/a2 is not = to b1/b2. It will have only 1 solution.
This is how we do this;
x=(10+5y)5 (from equation 1)
putting the value of x in equation 2