Since the y in the first equation is already isolated, the easiest way to solve the system is to use the Substitution Method. Let's substitute y=2.5x into the second equation.
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.
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.
