Question

If x+y = 12 and x+y+z=17 and z=8 what does y equal

Answer 1

x+y = 12 and x+y+z=17 where z=8 solve for y = 5/8

Explanation:

Solve the following system:

{x + y = 12 | (equation 1)

x + 9 y = 17 | (equation 2)

Subtract equation 1 from equation 2:

{x + y = 12 | (equation 1)

0 x+8 y = 5 | (equation 2)

Divide equation 2 by 8:

{x + y = 12 | (equation 1)

0 x+y = 5/8 | (equation 2)

Subtract equation 2 from equation 1:

{x+0 y = 91/8 | (equation 1)

0 x+y = 5/8 | (equation 2)

Collect results:

Answer: x = 91/8 , y = 5/8