Based on the calculations, the value of x and y in this equation are both equal to 5.
A system of linear equations can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).
Given the following data:
x + y = 10 .....equation 1.
x = 5. .....equation 2.
In order to evaluate the given mathematical equation, we would substitute equation 2 into equation 1 as follows:
[tex]5+y=10\\\\y=10-5[/tex]
y = 5.
Read more on equations here: brainly.com/question/13170908