Question

if ;X+y=8;
X+z=13
z-w=6
y+w=8
then find w;X;y;z​

Answer 1

Answer:

w:x:y:z =7:7:9:19

Step-by-step explanation:

x+y=8----(i)

x+z=13----(ii)

z-w=6----(iii)

y+w=8----(iv)

adding these 4 equation ,

2(x+y+z)=35

∴(x+y+z)=35/2----(v)

subtracting (i) & (v) ,we get--

z=19/2;

x=7/2;

y=9/2;

w=7/2.

∴ w:x:y:z =7:7:9:19

Answer 2

Step-by-step explanation:

Given:-

X+y=8

X+z=13

z-w=6

y+w=8

To find:-

Find W,X,Y and Z ?

Solution:-

Given that

X+y=8 ----(1)

X+z=13----(2)

z-w=6-----(3)

y+w=8-----(4)

On subtracting (1) from (2)

X+ Z = 13

X+Y = 8

(-)

_______

0+Z-Y = 5

________

Z-Y = 5 -------(5)

On subtracting (5) from (3)

Z-W = 6

Z-Y = 5

(-)

_______

0+Y-W = 1

________

Y-W = 1---------(6)

On adding (6)& (4)

Y+W = 8

Y-W = 1

(+)

________

2Y +0 = 9

________

=> 2Y = 9

=> Y = 9/2

The value of Y = 9/2

On Substituting the value of Y in (6)

(9/2)-W = 1

=> W = (9/2)-1

=> W = (9-2)/2

=> W = 7/2

The value of W = 7/2

Substituting the value of Y in (1)

=> X + (9/2) = 8

=>X = 8-(9/2)

=>X = (16-9)/2

=> X = 7/2

The value of X = 7/2

On Substituting the value of X in (2)

=> (7/2)+Z = 13

=> Z = 13-(7/2)

=> Z = (26-7)/2

=> Z = 19/2

The value of Z = 19/2

Answer:-

The values of the variables :

X = 7/2 ; Y = 9/2 ; W = 7/2 ; Z = 19/2

Check:-

X+y=8

(7/2)+(9/2)

=> (7+9)/2

=> 16/2

=> 8

X+z=13

(7/2)+(19/2)

=> (7+19)/2

=> 26/2

=> 13

z-w=6

=>(19/2)-(7/2)

=> (19-7)/2

=> 12/2

=>6

y+w=8

=> (9/2)+(7/2)

=>(9+7)/2

=> 16/2

=> 8

Verified the given relations