1.

If 2x+3y+z=55,x-y=4 and y - x + z=12,then what are the values of x , y and z? 

Answer»

The given equations are: 

2x+3y+z=55 …(i); 

x + z - y=4 …(ii); 

y -x + z =12 …(iii) 

Subtracting (ii) from (i), we get: x+4y=51 …(iv) 

Subtracting (iii) from (i), we get: 3x+2y=43 …(v) 

Multiplying (v) by 2 and subtracting (iv) from it, we get: 5x=35 or x=7. 

Putting x=7 in (iv), we get: 4y=44 or y=11. 

Putting x=7,y=11 in (i), we get: z=8.


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