Question

What is the solution set for this system of equations?

4x + y = 13
x − 3y = 0

Answer 1

The solution set for this system of equations is (3,1)

Answer 2

(3, 1)

Explanation:

Pre-Solving

We are given the following system:
4x + y = 13

x - 3y = 0

We want to find the solution.

We can solve this system with substitution, where we solve one of the variables for the other, then substitute that value into the other equation.

Solving

To start, we can add 3y to both sides to solve for x.

x - 3y = 0

+3y +3y

____________________

x = 3y

Now, substitute x as 3y in 4x + y = 13

4(3y) + y = 13

12y + y = 13

13y = 13

y = 1

Now, substitute 1 as y in x=3y

x = 3(1)

x = 3

Our solution is x = 3, y = 1. As a point, that is (3,1).