Verified answer

z = y – x ,

3x + 4y = 20 + z

3x+4y=20+ y-x

4x+3y=20

4x=5y+10

5y+10+3y=20

8y=10

y=5/4, x=65/16,,z=-45/16 your question is wrong.

So we have 4x = 5y + 10 , z = y - x and 3x + 4y = 20 + z. Substitute the second

equation into the first to get 3x + 4y = 20 + y - x ---> 4x + 3y = 20. Now sub the

first equation into this last equation to get 5y + 10 + 3y = 20 ---> 8y = 10 ---> y = 5/4.

Next, since 4x + 3y = 20 ---> 4x = 20 - 3y = 20 - 3*(5/4) = 65/4 ---> x = 65/16.

Finally, z = y - x = 5/4 - 65/16 = -45/16. So my answer is (65/16 , 5/4 , -45/16), which

doesn't correspond to any of the options given.

None of the options given satisfy all the equations.