Plato Classroom Question #16

Consider this system of equations:

$^2/_3x+\text{ }^3/_5y=12$ (equation A)

$^5/_2y-3x=6$(equation B)

The expression that gives the value of x is $\boxed{\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\downarrow}$.
The solution for the system of equations is $\boxed{\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\downarrow}$.

$\boxed{\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\downarrow}\\ \boxed{^{5a}/_3+\text{ }^{2b}/_5\text{ }\text{ }\text{ }\text{ }\text{ }\\\ ^{3a}/_5-\text{ }^{5b}/_2\\ ^{5a}/_2+\text{ }^{3b}/_5\\ ^{5a}/_3-\text{ }^{2b}/_5\\ ^{3a}/_2+\text{ }^b/_5}$ $\boxed{\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\downarrow}\\ \boxed{(^{1118}/_{47},\text{ }^{396}/_{47})\text{ }\text{ }\text{ }\\ (^{33}/_{13},\text{ }^{50}/_{13})\\ (^{99}/_{13},\text{ }^{150}/_{13})\\ (8,12)}$