Exercise 32 Page 392

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. x+ 3y=11 & (I) 2 x+ 3y=4 & (II) We can see that the y-terms in this system will eliminate each other if we subtract Equation (I) to Equation (II). We can now solve for y by substituting the value of x into either equation and simplifying. The solution to this system of equations is (-7,6).