SOLUTION: Could you please take the time to help me solve this problem: Solve the following system of three linear equations: x � 2y = 4 and 2 x � 3 y + 2 z = � 2 and 4 x � 7 y + 2 z = 6.

Question 102281: Could you please take the time to help me solve this problem: Solve the following system of three linear equations: x � 2y = 4 and 2 x � 3 y + 2 z =
� 2 and 4 x � 7 y + 2 z = 6. Noting that each equation represents a plane, interpret your result.
Thank you, for taking the time to help me
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
x � 2y 0z = 4
2 x � 3 y + 2 z = � 2
4 x � 7 y + 2 z = 6
-------------------
x = 2y+4
Substitute to get:
2(2y+4)-3y+2z = -1
4(2y+4)-7y+2z = 6
-----------------
Simplify:
x = 2y+4
y + 2z = 9
y + 2z = -2
---------------
The last two equations indicate the system is inconsistent.
Two of the equations represent parallel planes.
There is no intersection of the three planes represented
by the original three equations.
===================
Cheers,
Stan H.
RELATED QUESTIONS
Could you please take the time to help me solve this question: Solve the following system (answered by MathLover1)

Could someone please take the time to help me solve the question: Solve the following... (answered by ankor@dixie-net.com)

Could someone please help me solve this question: Solve the following system of two... (answered by stanbon)

Can I please get some help with this problem. Solve the following system of two... (answered by mananth)

please help me solve the system of linear equations x-y=3... (answered by stanbon)

I do not understand this: Solve the following system of equations: 2x+3y-x=0... (answered by ikleyn,stanbon)

Graph the linear Equations. x-2y=4 Can someone please help me solve this problem? Thank... (answered by MathLover1)

My brain is on shut down from all my equations and this problem has me lost. Help... (answered by ankor@dixie-net.com)

My brain is on shut down from all my equations and this problem has me lost. Help... (answered by jim_thompson5910)