Question

If 3x=y+z, y=6-7, and z+x=8, what is the value of y/z?

Answer 1

-4/25

Explanation:

3x=y+z

y=6-7=-1

z+x=8

y/z=?

solution

3x=-1 + z

x= -1 + z\3 ...eq(*)

then, z= 8- x

z= 8 - (-1 +z)\3

z= 8 +(1- z )\3

z= 8+1\3 -z \3

= 24+1\3 - z\3

z=25\3-z\3

z+z\3=25\3

4z\3=25\3

4z=25

z=25/4

then,

25/4 +x = 8

x=8- 25/4

x= 32 - 25/4

x=7/4

so that,

y/z=-1 /25/4

=-4/25