The value of y is equal to 18.
What is the value of a variable related to geometric system?
In this problem we have a geometric system generated by two lines intersecting each other and generating two pairs of angles supplementary to each other. The system of linear equations representing the situation is presented below:
(8 · y - 13) + (3 · x + 4) = 180
3 · x + 8 · y = 189 (1)
(10 · x - 19) + (3 · x + 4) = 180
13 · x = 195 (2)
The solution to this system is (x, y) = (15, 18). The value of y is equal to 18.
To learn more on supplementary angles: https://brainly.com/question/18164299
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