Solve the system using elimination.
2x + 14y = 6
2x − 14y = 6
The solution to the system is
.
(Simplify your answer. Type an ordered pair with parentheses).
To solve the system using elimination, we subtract the second equation from the first equation.
(2x + 14y) - (2x -14y) = (6) - (6)
2x + 14y - 2x + 14y = 0
28y = 0
y = 0
Now we substitute y = 0 into one of the original equations to solve for x. Let's use the first equation:
2x + 14(0) = 6
2x + 0 = 6
2x = 6
x = 3
The solution to the system is (x, y) = (3, 0).