The solution of the given system of equations is (1,3) and this can be determined by using the given data.
Given :
- The pink line in the graph passes through the point (0,5) and (2.5,0).
- The blue line in the graph passes through the point (0,4) and (4,0).
The equation of a pink line that passes through the point (0,5) and (2.5,0) is:
[tex]\dfrac{y-5}{x-0}=\dfrac{0-5}{2.5-0}[/tex]
Simplify the above equation.
(y - 5) = -2x
y + 2x = 5 --- (1)
The equation of a blue line that passes through the point (0,4) and (4,0) is:
[tex]\dfrac{y-4}{x-0}=\dfrac{0-4}{4-0}[/tex]
Simplify the above equation.
y - 4 = -x
y + x = 4
y = 4 - x --- (2)
Substitute the value of 'y' in equation (1).
4 - x + 2x = 5
x = 1
Substitute the value of 'x' in equation (2).
y = 4 - 1
y = 3
Therefore, the correct option is C).
For more information, refer to the link given below:
https://brainly.com/question/12895249
