. Use elimination to find the solution to the system of equations.

-x + 4y = 10
4x + 5y = 2

A(3,13/4)
B(-2,2)
C(-3 ,14/5)
D(10,5)

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)

The answer to your math question is (-2,2)

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