Algebra-1

To solve the given system of equations using the elimination method, we can multiply the first equation by 6 and the second equation by -6 to eliminate the variable "x". Let's perform the multiplication:

(6)(-6x + 5y) = (6)(1)
(-6)(6x + 4y) = (-6)(-10)

Simplifying the equations, we have:

-36x + 30y = 6
-36x - 24y = 60

Now, we can subtract the second equation from the first equation to eliminate "x". Let's perform the subtraction:

(-36x + 30y) - (-36x - 24y) = 6 - 60

Simplifying the equation, we have:

-36x + 36x + 30y + 24y = 6 - 60

The x terms cancel out (-36x + 36x = 0), and the y terms combine:

54y = -54