Here we want to solve the system
using the elimination method. It is then necessary that one of the variable terms is eliminated when one equation is added to or subtracted from the other equation. Here if we add the equations the y-terms in the system will eliminate each other.
We will find x by solving the resulting equation.
Finally, y is calculated by substituting 3 for x in either of the original equations. Let's use Equation (II).
We have been asked to solve the following system of equations using the elimination method.
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 its current state, this won't happen. Therefore, we need to manipulate one or both equations. If we multiply Equation (I) by 2, the x-terms will have opposite coefficients.
Now we have the following system.
If we add the equations we will eliminate the x-terms.
By solving the resulting equation we find y.0+14y=14⇔y=1
Let's go on and substitute 1 for y in Equation (II) and solve the resulting equation.