Answer:
(1, 6) is the solution
Step-by-step explanation:
-2x + 6y = 34
2x + 2y = 14; divide by 2
x + y = 7; subtract x
y = 7 - x
let's substitute y with 7 - x in first equation
-2x + 6*(7 - x) = 34; expand multiplication
-2x + 6*7 - 6*x = 34; group
-8x + 42 = 34; subtract 42
-8x = 34 - 42 = -8; divide by -8
x = 1
y = 7 - 1 = 6
It is the only solution, as we've arrived at exact numbers.
