# Question #11a35

##### 2 Answers

#### Explanation:

When we are given a system of equations with multiple variables, our goal is to find what values for those variables could make all of the equations in our system true.

In this case, we are given the system

So we want to know what values of

The substitution property of equality means that if two things are equal, then wherever one appears, we can switch it out for the other.

In this case, we have

Now we can use algebraic manipulation to solve for

Thus, the solution to the system is

The solution is the point

#### Explanation:

Because we already have both equations solved for

Note: 'solved for

So, let's look at this system of equations and how to find its solution.

As I stated earlier, set the expressions for

Since we know from the original system of equations that