9514 1404 393
Answer:
(x, y) = (-1, 5/2)
Step-by-step explanation:
The only variable with a coefficient that has a magnitude of 1 is x in the first equation. Using that equation, we can write an expression for x:
x = 2y -6
This can be substituted for x in the second equation.
(7/2)(2y -6) +7y = 14
7y -21 +7y = 14 . . . . . . eliminate parentheses
14y = 35 . . . . . . . . . . . add 21
y = 35/14 = 5/2 . . . . . divide by the coefficient of y
x = 2(5/2) -6 = -1
The solution is (x, y) = (-1, 5/2).
