If either of the variable terms would cancel out the corresponding variable term in the other equation, you can use the Elimination Method to solve the system.
A
Practice makes perfect
We want to find the x -value of the solution of the given system of linear equations. To do it, we will solve the system using the Elimination Method. In this method, one of the variable terms needs to be eliminated when one equation is added to or subtracted from the other equation. This means that either the x- or the y-terms must cancel each other out.
3 x+ y=-3 & (I) x+ y=1 & (II)
We can see that the y-terms will eliminate each other if we subtract Equation (II) to Equation (I).