What is the solution of the system of equations?
{3x+2y+z=7}
{5x+5y+4z=3}
{3x+2y+3z=1}

Question

What is the solution of the system of equations?
{3x+2y+z=7}
{5x+5y+4z=3}
{3x+2y+3z=1}

rishavraj · Answer

solve it using determinant or elimination method..

anonymous · Answer

i dont know how to do either. which ways is easiest?

rishavraj · Answer

use elimanation method..subtract  3rd equation from 1st one

anonymous · Answer

so -3z=6

anonymous · Answer

z=-2

rishavraj · Answer

its supposed to be -2z = 6
z = -3

anonymous · Answer

right. my mistake

rishavraj · Answer

@yelahn  are u able to proceed further???

anonymous · Answer

do i take 2 more equations and substite z for -3 in each then solve for a different variable?

rishavraj · Answer

yeah...

rishavraj · Answer

@yelahn  got the answer???

anonymous · Answer

almost

rishavraj · Answer

@yelahn  k...then whats the answer??? i too got it

anonymous · Answer

which two equations should i use this time??

rishavraj · Answer

see multiply 1st equation from 5 and 2nd equation from 3..and subtract them.....u will get y

rishavraj · Answer

@yelahn  solved???

anonymous · Answer

y=-1

rishavraj · Answer

@yelahn  yup u r correct...now plug the value of y & z in any equation and get "x"

anonymous · Answer

x=2.7??

anonymous · Answer

i made a mistake. let me try again

rishavraj · Answer

@yelahn  for sure try it again...

anonymous · Answer

x=2

rishavraj · Answer

@yelahn  no..u r wrong just plug the value  y = -1 and z = -3 in 1st equation..u will get x

anonymous · Answer

thats what i did

anonymous · Answer

3x+2(-1)+(-3)=7

rishavraj · Answer

@yelahn  ur eqution is correct....

anonymous · Answer

now i got x=4.3

rishavraj · Answer

@yelahn  3x-5 = 7
3x = 12

anonymous · Answer

x=4

rishavraj · Answer

@yelahn  this is time u r absolutely correct.....

rishavraj · Answer

to check ur answer just plug all values in equations and see wether LHS = RHS or not