Exercise 32 Page 383

Let's review what we know about different ways of solving systems of linear equations. We will begin with solving by graphing. Let's consider an example. y=x+3 y=2x-4 To solve this system by graphing first, we need to graph both equations on a coordinate plane. Let's do this!

We can see that lines intersect at point (2,4), this is the solution to the system of equations. Next, we will focus on Substitution Method. Let's look at another example system of equations. y=2x y+x=6 To solve this system we substitute 2x for y in the equation (II) and solve it for x. We found the solution for x. Now, we need to substitute that solution into the equation (I) and solve for y. The solution to this system of equations is (2,4). Finally, we will consider the Elimination Method. Let's take a look at an example system of equations. 2y+3x=4 & (I) 4y-3x=6 & (II) To solve this system using the Elimination Method, we will add equation (I) to equation (II) to eliminate one of the variables. We found the solution for y. Now, we will substitute 2 for y in the first equation and solve it. Let's do it!