Algebra-1

To solve the given system of equations using the elimination method, we can add the two equations to eliminate the variable "y". Let's perform the addition:

(-2x + y) + (4x - y) = 10 + (-14)

Simplifying the equation, we have:

-2x + 4x + y + (-y) = -4

The y terms cancel out (-y + y = 0), and the x terms combine:

-2x + 4x = 2x

Therefore, we have:

2x = -4

To solve for x, we divide both sides of the equation by 2:

2x / 2 = -4 / 2