Add both equations side by side to eliminate at least one of the variable terms.
No solution.
Practice makes perfect
To solve a system of linear equations using the Elimination Method, one of the variable terms needs to be eliminated when one equation is added to or subtracted from the other equation. In this exercise, this means that either the x-terms or the y-terms must cancel each other out.
11x- 13y=89 & (I) - 11x+ 13y=107 & (II)
We can see that both the x- and y-terms will eliminate each other if we add (I) to (II).
Solving this system of equations resulted in a contradiction; 0 can never be equal to 196. Therefore, the lines are parallel and do not have a point of intersection. This means that the system has no solution.
