Question

Can someone solve/walk me through this problem please?
-6x+5y=34
-6x-10y=4

Answer 1

x=-4, y=2

Explanation:

-6x-10y=4

-6x=4+10y

(4+10y)+5y=34

15y=30

y=2

-6x-10(2)=4

-6x=24

x=-4

Answer 2

Answer: x = -4

y = 2

Explanation:

From equation I

-6x + 5y = 34

-6x = 34-5y

-(-6x) = -(34-5y)

or, 6x = 5y-34

or, x = 5y-34/6

so

substituting the value in equation II

-6x-10y = 4

or, -6{(5y-34)/6} - 10y = 4

or, -(5y-34)-10y = 4

or, -5y + 34-10y = 4

or, -15y = -30

or, y = -30/(-15)

so, y = 30/15

so, y = 2

now

x = (5y-34)/6

= (5*2-34)/6

= (10-34)/6

= -24/6

= -4