Exercise 41 Page 381

In this system of equations, at least one of the variables has a coefficient of $1.$ Therefore, we will approach its solution with the Substitution Method. When solving a system of equations using substitution, there are three steps.

1. Isolate a variable in one of the equations.
2. Substitute the expression for that variable into the other equation and solve.
3. Substitute this solution into one of the equations and solve for the value of the other variable.

Note that the $y\text{-}$variable is already isolated in both equations. Since the expression equal to $y$ in Equation (I) is simpler, let's use that for our initial substitution. Great! Now, to find the value of $y,$ we need to substitute $x=2$ into either one of the equations in the given system. Let's use the first equation. The solution, or point of intersection, to this system of equations is the point $(2,\text{-}6).$