The document contains two linear equations with two variables that are solved using matrix row reduction. The solutions are: x = -2 and y = 5. The system of equations models a situation with two variables where the solutions provide the values of x and y that satisfy both equations simultaneously.

1. 5𝑥 + 6𝑦 = 20
3𝑥 + 8𝑦 = 34
1
2
MCM: (3,5)=15
13 * 15x + 18y = 60
-5 * 2 -15x - 40y = -170
Sumamos: - 22y = -110

2. - 22y = -110
y =
−110
−22
y = 5 y = 5
1 5x + 6y = 20
5x + 6(5) = 20
5x + 30 = 20
5x = 20 – 30
5x = -10 x =
−10
5 x = -2
x = -2

3. y = 5
x = -2
2 3x + 8y = 34
3(-2) + 8(5)= 34
-6 + 40 = 34
34 = 34