The solution to a system of equation are the true values of the equations.
The system that shows the solution on the graph is: [tex]\mathbf{y = 2x -3}[/tex] and [tex]\mathbf{y = -2x + 1}[/tex]
The pink line
The points on this line are (4,5) and (3,3)
Start by calculating the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
[tex]\mathbf{m = \frac{3-5}{3-4}}[/tex]
[tex]\mathbf{m = \frac{-2}{-1}}[/tex]
[tex]\mathbf{m =2}[/tex]
The equation is then calculates as:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
So, we have:
[tex]\mathbf{y = 2(x - 3) + 3}[/tex]
[tex]\mathbf{y = 2x -6 + 3}[/tex]
[tex]\mathbf{y = 2x -3}[/tex]
Hence, the system that shows the solution on the graph is:
[tex]\mathbf{y = 2x -3}[/tex] and [tex]\mathbf{y = -2x + 1}[/tex]
Read more about systems of equations at:
https://brainly.com/question/18888202
