x + 2y = 14
-2y
x = -2y + 14
substitute x into the first equation
2 (-2y + 14) + 5y = 34
-4y + 28 + 5y = 34
simplify your y variable
y + 28 = 34
subtract 28 to find out what y equals
y = 6
now substitute y into the equation to find out what x equals
x + 2(6) = 14
x + 12 = 14
subtract 12 to get x
x = 2
now replace your values into an ordered pair, which is the solution
ANSWER: (2, 6)
