2y = x + 3 5y = x - 7 What is the solution set of the given system?

2y = x + 3 then x = 2y - 3

5y = x - 7 then x = 5y + 7

so

2y - 3 = 5y + 7

2y - 5y = 7 + 3

-3y = 10

y = - 10/3

y = - 3 1/3

2y = x + 3

2 (-10/3) = x + 3

-20/3 - 3 = x

-29/3 = x

-9 2/3 = x

or

x = - 9 2/3

solutions: x = - 9 2/3 and y = - 3 1/3