Multiply both sides of the equation by 4:
-4x + 16y = 40
4x + 5y = 2
Sum the equation vertically to eliminate at least one variable:
21y = 42
Divide both sides of the equation by 21:
y = 2
Substitute to given value of y into the equation 4x + 5y = 2:
4x + 5 x 2 = 2
Solve the equation for x:
x = -2
The possible solution of the system is the ordered pair (x, y):
(x, y)= (-2, 2)
Check if the given ordered pair is the solution of the system of equations:
-(-2) + 4 x 2= 10
4 x (-2) + 5 x 2 = 2
Simplify the equalities:
10= 10
2= 2
Since all of the equalities are true, the ordered pair is the solution of the system:
(x, y) = (-2, 2)
Solution:
(x, y) = (-2,2)