Answer:
(x. y) =(4, 7)
Explanation:
-7 x - 2 y = 14
6 x + 6 y = 18
Solve the equation
x = - 2/7 y
6 x + 6 y = 18
Substitute the value of x
6 ( - 2 - 2/7y) + 6 y = 18
Solve the equation
y = 7
Substitute the value of y
x = - 2 - 2/7 x 7
Solve the equation
x = - 4
A possible solution is
(x, y) = (- 4, 7)
Check the solution
- 7 x ( - 4) - 2 x 7 = 14
6 x ( - 4) + 6 x 7 = 18
Simplify
14 = 14
18 = 18
The ordered pair is the solution
(x, y) = ( - 4, 7)
Boom!