Algebra-1

To solve the given system of equations using the elimination method, we can multiply the first equation by 10 and the second equation by 7 to eliminate the variable "x". Let's perform the multiplication:

(10)(-7x + 6y) = (10)(29)
(7)(10x + y) = (7)(16)

Simplifying the equations, we have:

-70x + 60y = 290
70x + 7y = 112

Now, we can add the two equations to eliminate "x". Let's perform the addition:

(-70x + 60y) + (70x + 7y) = 290 + 112

Simplifying the equation, we have:

-70x + 70x + 60y + 7y = 290 + 112

The x terms cancel out (-70x + 70x = 0), and the...