Question

Which value of y forms the solution of the system defined by y = 11x + 1 and
11x + 12y = 12?

a) 1
b) 1/13
c) 11
d) 11/13

Answer 1

y = 11x+1
11x+12y=12 is the same as y = -(11x/12) + 1

y=11x+1
y=(-11x/12)+1 multiply both sides by 12 to get rid of the fraction
12y=-11x+12

y = 11x+1
12y = -11x +12

add them together:

13y = 0x +13
13y = 13

divide both sides by 13

y = 1