SOLUTION: z=2x+3y+7 x=z+2/2 y=-3z-7 find the solution of x,y and z

Algebra.Com
Question 1038378: z=2x+3y+7
x=z+2/2
y=-3z-7
find the solution of x,y and z

Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
Substitution method:
z=2x+3y+7
x=z+2/2 NOTE: Did you mean 2/2? 2 divided by 2 = 1, so the number is 1
y=-3z-7
````````````````````````````````````````
z=2(z+1)+3(-3z-7)
z=2z+2-9z-21
z=-7z-19
8z = -19
z = -19/8 = -2 3/8

RELATED QUESTIONS

Solve the following linear system: z= 2x + 3y - 17 y= -3z - 7 x= z+2 / 2 (answered by Fombitz)
Solve the system for x, y and z: x+y+z=7 2x+y-z=4... (answered by TigerAlgebra)
can someone please show me how to do this problem: Use the Gauss-Jordan method to... (answered by stanbon)
Solve each of these system of equations. 1) x + 2y + z = 10 2x - y + 3z = -5 (answered by Alan3354)
given the system of equations 2x-3y-9z=20 x+3z=-2 -3x+y-4z=-2 find the complete solution... (answered by MathLover1,greenestamps,math_tutor2020)
7. Solve {{{system(x+3y-z = -2, 4x+6y+3z = 4, 2x-y+2z =... (answered by jim_thompson5910)
solve the system of linear equations 2x + 3y - 3z = 7 -3x + y + z =... (answered by Alan3354)
Find the conplete solution of the linear system or show that it is inconsistent: x + y + (answered by Fombitz)
Solve the system 2x-3y+z=13 x+2y+3z=2 (answered by Edwin McCravy)