-6x+7y=15 solve with substitution

Answer 1

-6x + 7y = 15

7y = 6x +15

y =(6/7)x + 15/7

-6x = -7y +15

x = (7/6)y -15/6

that's all you solve for, solve for x or solve for y, without more information

Usually, this type of problem has a 2nd equation, ax +by =c where a,b and c are also integers

-6x+7y = 15

-6ax +7ay = 15a

-6ax +6by = 6c subtract to eliminate x

(7a-6b)y = 15a-6c

y = (15a-6c)/(7a-6b)

or -6bx +7by =15b

-7ax +7by = 7c subtract to eliminate y

(-6b-7a)x = 15b-7c

x = (15b-7)/(-6b-7a) = (7-15b)/(7a+6b)

If you have a 2nd equation plug in its values of a,b and c