SOLUTION: Solve the following system of equations algebraically for all values of x,y,and z x-2y+3z=30 4x+3y-2z=53 -6x+8y-9z=-97 x=? y=? z=?

Question 1106202: Solve the following system of equations algebraically for all values of x,y,and z
x-2y+3z=30
4x+3y-2z=53
-6x+8y-9z=-97
x=?
y=?
z=?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
2.
3.
Multiply eq. 1 by 4 and subtract from eq. 2,

4.
Multiply eq. 1 by 6 and add to eq. 3,

5.
Multiply eq. 4 by 4 and eq. 5 by -11 and add them together,

Now back substitute and solve for y and then x.

RELATED QUESTIONS
Solve for the following system of equations x + 2y + 3z = 1 4x + 5y + 6z = 2 7x + 8y + (answered by richwmiller)

solve the following homogeneous system of linear equations: x+y-3y+2w=0, 2x-y+2z-3w=0, (answered by Alan3354)

solve the system of equations: 8x-y+z=-23 4x+2y-3z=-16... (answered by stanbon)

Solve the system of equations: 7x-y+z=-16 4x+2y-3z=20... (answered by stanbon)

solve the system of equations using cramers rule 3y + 2x = z +1, 3x + 2z = 8y - 5, 3z -... (answered by ewatrrr)

Solve system of equations X+3y-2z=-9 6x-4y+3z=29... (answered by ewatrrr)

y=x+4z-5 4x+3y-2z=5 z=-2x+2 Can you please solve these system of equations and find... (answered by KMST)

solve the following system of linear equations for x,y and z. x-2y+3z=-11 2x-z=8... (answered by MathLover1,solver91311)

Use the Cramer�s rule to solve the following system of linear equations; x - y + z = 8, (answered by Edwin McCravy)