Answer: (x, y) = (5, -1)
Explanation step-by-step:
2x- y = 11
6x -3x = 15
Multiply both sides of the equation by -1/2
-x + 1/2y = -11/2
x = 5
Sum the equations vertically to eliminate at least one variable
y = -1
The possible solution o the system is the ordered pair (x, y)
(x, y) = (5, -1)
Check if the given ordered pair is the solution of the system of equations
2 x 5 - (-1) = 11
6 x 5 -3 x 5 = 15
Simplify the equalities
11 = 11
15 = 15
Since all of the equalities are true, the ordered pair is the solution of the system
(x, y) = (5, -1)