Algebra-1

To solve the given system of equations using the elimination method, we can multiply the first equation by 7 and the second equation by 1 to eliminate the variable "y". Let's perform the multiplication:

(7)(5x + y) = (7)(9)
(1)(10x - 7y) = (1)(-18)

Simplifying the equations, we have:

35x + 7y = 63
10x - 7y = -18

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

(35x + 7y) + (10x - 7y) = 63 + (-18)

Simplifying the equation, we have:

35x + 10x + 7y - 7y = 63 - 18

Combining like terms, we have:

45x = 45...