Question

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

Answer 1

Answer: the solution set would be {(-29/3, -10/3)}

Explanation:

Answer 2

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