SOLUTION: solve the following system by any means you like, explain your answer: 2x+5z=5, x-3y+2z+=2, 3x+y+3z=3

Algebra.Com
Question 3551: solve the following system by any means you like, explain your answer: 2x+5z=5, x-3y+2z+=2, 3x+y+3z=3
Answer by longjonsilver(2297)   (Show Source): You can put this solution on YOUR website!
Looking at the 3 equations, the coeeficients of z match the RighHand side values, so the solution, x=y=0 and z=1 satisfies your equations...without doing any calculations.

To "prove" this solution, you can do substitution/elimination etc or use Cramer's Rule...determinants of certain matrices.

Using Cramer's rule, gives x=y=0 and z=1.

jon

RELATED QUESTIONS

Solve each of these system of equations. 1) x + 2y + z = 10 2x - y + 3z = -5 (answered by Alan3354)
Solve the system: {{{3x-y+2z=3}}} {{{2x+3y-z=-3}}} {{{x-2y+3z=2}}} Thanks... (answered by swincher4391)
solve the following system of equations X – 3z = -5 2x- y + 2z= 16 7x – 3y -5z =19... (answered by ankor@dixie-net.com,radh,ewatrrr)
Solve the following system of equations using cramer`s rule 2x + y - z= 5 3x - 2y +... (answered by Edwin McCravy)
Solve the following system of equations 3x + 3y + 2z = −5 x + y + 3z = −4... (answered by Edwin McCravy)
Expectations As this is a fundamental "hands on" course, it is expected that you master... (answered by ewatrrr)
Systems of Equations 1. Solve the following problems for X and Y in these two system... (answered by solver91311)
Solve the following system of equations by any method you wish X + y = 5 X + 2z = 6 Y... (answered by ankor@dixie-net.com)
Write the augmented matrix for each of the following systems. Do not solve. a)... (answered by MathLover1)