Question

x+ y = 8, y + z = 8
x+a = 13, a-z=6.
Find a,x,y,z​

Answer 1

Answer:

y = 4.5, a = 9.5 , z = x = 3.5

Step-by-step explanation:

We can write that,

x+y = y+z

or, x = z

Hence,

x+a=a+z=13 ................(1)

x+a=a+z=13 ................(1)a-z=6 ...........................(2)

(1)+(2)=>

a+z+a-z = 19

or, a = 9.5 (ans)

So,

9.5+z = 13

or, z = x = 3.5 (ans)

So,

3.5+y=8

or,y = 4.5 (ans)

Answer 2

Answer:

x+y=8.....from here we can calculate the value of x..that is x=8-y...eq.1

a.now come on x+a=13..(8-y)+a=13...a=13-(8-y)...a=13-8+y...a=5+y.. eq.2

now come on eq.a-z=6....(5+y)-(8-y)=6.....5+y-8+y=6....-3+y=6....y=9

now insert the value of y in eq.x+y=8...x+9=8...x=(-1).

now insert the value of y in eq.y+z=8....9+z=8...z=(-1)

now insert the value of x in eq. x+a=13....(-1)+a=13...a=14....